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NEURO-FUZZY STUDIES OF THE
  ROLE OF FLEXIBILITY ON
   PERFORMANCE OF FMS


             Submitted By :-
             VIKAS-            0814340053
             AJAY YADAV-       0814340005
             SHIVANI YADAV-    0814340044
             JAGDEEP SINGH-    0814340018
CONTENTS

• OBJECTIVE
• MOTIVATION
• LITRATURE SURVEY
• METHODOLOGY
• IMPLEMENTATION PLAN
• EXPECTED OUTCOME
HISTORY OF FUZZY LOGIC
•   1965 - Fuzzy Sets ( Lofti Zadeh, seminar)

•   1966 - Fuzzy Logic ( P. Marinos, Bell Labs)

•   1972 - Fuzzy Measure ( M. Sugeno, TIT)

•   1974 - Fuzzy Logic Control (E.H. Mamdani)

•   1980 - Control of Cement Kiln (F.L. Smidt, Denmatk)

•   1987 - Sendai Subway Train Experiment ( Hitachi)

•   1988 - Stock Trading Expert System (Yamaichi)

•   1989 - LIFE ( Lab for International Fuzzy Eng)
OBJECTIVE


•   TO MAKE INDIAN INDUSTRIES CAST EFFECTIVE
    •   FMS is considered to be highly flexible and highly integrated
        system , but they cost heavy and most of the Indian industries
        can not afford this. So it is relevant to find a solution for Indian
        industries which could offer cost efficient ways to achieve this.
MOTIVATION
•   The machine learning technique in the field of artificial
    intelligence
•   Approaches used include fuzzy logic approaches, artificial
    neural networks, and the application of adaptive-network-
    based fuzzy inference systems (ANFIS)
•   Fuzzy logic approaches easily deal with uncertain and
    incomplete information
•   Approaches in scheduling of flexible manufacturing
    systems increased
LITRATURE SURVEY
•   FMS(FLEXIBLE MANUFACTURING SYSTEM)
•   ARTIFICIAL INTELLIGENCE
•   NEURO-FUZZY
FMS(FLEXIBLE MANUFACTURING SYSTEM)
•   A manufacturing system in which there is some amount of flexibility
    that allows the system to react in the case of changes, whether
    predicted or unpredicted
•   Comes in the middle of the 1960s
•   Philosophically, FMS incorporates a system view of manufacturing
•   We must become managers of technology not merely users of
    technology by Peter Drucker
•   Today flexibility means to produce reasonably priced customized
    products of high quality that can be quickly delivered to customers
BASIC COMPONENTS OF FMS

 • Workstations

 • Material handling and storage system

 • Computer control system

 • People are required to manage and operate the system.
AUTOMATED
MANUFACTURING CELL
           Machine Tool




                          Parts Carousel
   Robot




           Machine Work
              table
WORKSTATIONS
• Load/Unload Stations - Physical interface: FMS and factory

• Machining Stations - Most common is the CNC machining centre

• Other Processing Stations – sheet-metal fabrication, forging

• Assembly - Industrial robots, component placement machines

• Other Stations and Equipment -inspection stations, cleaning

  stations, central coolant delivery and chip removal systems
ADVANTAGES OF FMS
•   Increased machine utilization
•   Fewer machines required
•   Reduction in factory floor space required
•   Greater responsiveness to change
•   Reduced inventory requirements
•   Lower manufacturing lead times
•   Reduced direct labor requirements and higher labor
    productivity
•   Opportunity for unattended production
DISADVANTAGES OF FMS

•   Substantial pre-planning activity

•   Expensive, costing millions of dollars

•   Sophisticated manufacturing systems

•   Limited ability to adapt to changes in product or product mix

•   Technological problems of exact component positioning and

    precise timing necessary to process a component
ARTIFICIAL INTELLIGENCE
•   “AI is the activity of providing such machines as computers

    with the ability to display behaviours that would be regarded

    as intelligent if it were observed in humans” (R. McLeod)

•   “AI is the study of agents that exist in an

    environment, perceive and act.” (S. Russel and P. Norvig)
ARTIFICIAL NEURAL NETWORK
 •   Computational models that try to emulate the structure of the
     human brain wishing to reproduce at least some of its flexibility
     and power.
 •   ANN consist of many simple computing elements – usually
     simple nonlinear summing operations – highly connected by
     links of varying strength
 •   ANNs are able to learn from examples

 •   Function approximations
 •   Solutions not always correct
 •   ANNs are able to generalize the acquired knowledge
TRAINING
•   Weight values change during the training process
•   Values are presented at the inputs and outputs are compared to the
    desired values.
•   Wrong outputs cause weights to change in order to reduce the error
•   Process is repeated with different inputs till the ANN is able to
    give the correct answers
•   Hopefully the ANN will be able to give the correct answer even to
    inputs that were not trained.
FUZZY LOGIC : AN IDEA




          1.0
FUZZY LOGIC
•   Introduced by Lofti Zadeh (1965)

•   It is a powerful problem-solving methodology
    •   Builds on a set of user-supplied human language rules
•   It deals with uncertainty and ambiguous criteria or values
    •   Example: “the weather outside is cold”
        •   but, how cold is actually the coldness you described?
        •   What do you mean by „cold‟ here?
    •   As you can see a particular temperature is cold to one person but it is
        not to another
    •   It depends on one‟s relative definition of the said term
FUZZY SETS

• Formal definition:
   • A fuzzy set A in X is expressed as a set of ordered
     pairs:

             A     {( x,     A   ( x ))| x   X}

                        Membership                   Universe or
 Fuzzy set
                         function                universe of discourse
                           (MF)


             A fuzzy set is totally characterized by a
                   membership function (MF).
•   Most natural language is bounded with vague and imprecise
    concepts

•   Example:

    •   “He is quite tall”

    •   “The student is intelligent”

    •   “Today is a very hot day”

•   These statements are difficult to translate into more precise
    language

•   Fuzzy logic was introduced to design systems that can demonstrate
    human-like reasoning capability to understand such vague terms
DIFFERENCES BETWEEN FUZZY
   LOGIC AND CRISP LOGIC
 •   CRISP LOGIC              •   FUZZY LOGIC
     •   precise properties       •   Imprecise properties
 •   Full membership          •   Partial membership
     •   YES or NO                •   YES ---> NO
     •   TRUE or FALSE            •   TRUE ---> FALSE
     •   1 or 0                   •   1 ---> 0
 •   Crisp Sets               •   Fuzzy Sets
     • she is 18 years old        • she is about 18 years old
     • man 1.6m tall              • man about 1.6m tall
HOW DOES FUZZY LOGIC RESEMBLES
         HUMAN INTELLIGENCE?

•   It can handle at certain level of imprecision and uncertainty

•   By clustering & classification
     •   dividing the scenario/problems into parts

     •   focusing on each part with rank of importance and alternatives to solve

     •   combining the parts to as an integrated whole

•   It reflects some forms of the human reasoning process by
     • Setting hypothetical rules

     • Performing inferencing

     • Performing logic reasoning on the rules
METHODOLOGY
    EXAMPLE: FUZZY INFERENCE

• Inputs to a fuzzy system can be:
   – fuzzy, e.g. (Score = Moderate), defined by membership
     functions;
   – exact, e.g.: (Score = 190); defined by crisp values
• Outputs from a fuzzy system can be:
   – fuzzy, i.e. a whole membership function.
   – exact, i.e. a single value is produced
EXAMPLE: FUZZY INFERENCE

 • Inputs to a fuzzy system can be:
    – fuzzy, e.g. (Score = Moderate), defined by membership
      functions;
    – exact, e.g.: (Score = 190); defined by crisp values
 • Outputs from a fuzzy system can be:
    – fuzzy, i.e. a whole membership function.
    – exact, i.e. a single value is produced
WHAT IS THE DIFFERENCE BETWEEN
 CLASSICAL AND FUZZY RULES?
 Consider the rules in fuzzy form, as follows:
 Rule 1                                           Rule 2
 IF driving_speed is fast             IF driving_speed is slow
 THEN stop_distance is long                    THEN stop_distance is short




   In fuzzy rules, the linguistic variable speed can have the range
     between 0 and 220 km/h, but the range includes fuzzy sets,
                      such as slow, medium, fast.
Linguistic variable stop_distance can take either value: long or short.
The universe of discourse of the linguistic variable stop_distance can
               be between 0 and 300m and may include
             such fuzzy sets as short, medium, and long.
FUZZY LOGIC METHODOLOGY

•   Set the boundaries between two values(cold and hot) which
    will show the degrees of temperature

    • A sample set of rules

        •   IF temperature is cold THEN set fan speed to zero

        •   IF temperature is cool THEN set fan speed to low

        •   IF temperature is warm THEN set fan speed to medium

        •   IF temperature is hot THEN set fan speed to high
DESIGN A SET OF FUZZY RULES FOR
AN ELECTRICAL WASHING MACHINE

IF Load_Weight is heavy THEN set Water_Amount to full

IF Load_Weight is not_so_heavy THEN set Water_Amount to
three_quarter

IF Load_Weight is not_so_light THEN set Water_Amount to half

IF Load_Weight is light THEN set Water_Amount to quarter
                            Or
    IF Load Weight is heavy THEN set Water Amount to maximum

    IF Load Weight is medium THEN set Water Amount to regular

     IF Load Weight is light THEN set Water Amount to minimum
ALTERNATIVE NOTATION

• A fuzzy set A can be alternatively denoted
  as follows:
                                 A               A   ( xi ) / xi
        X is discrete                xi X



     X is continuous             A          A   (x) / x
                                     X



  Note that S and integral signs stand for the union of
  membership grades; “/” stands for a marker and does
  not imply division.
FUZZY LOGIC OPERATIONS
•   Fuzzy Logic Operators are used to write logic combinations between
    fuzzy notions (i.e. to perform computations on degree of membership)
•   Zadeh operators
    1. Intersection: The logic operator corresponding to the intersection
       of sets is AND
       µ(A AND B) = MIN (µA,µB)
    2. Union: The logic operator corresponding to the union of sets is OR
       µ(A OR B) = MAX (µA,µB)
    3. Negation: The logic operator corresponding to the complement of
       a set is the negation
       µ(NOTA) = 1-µA
FUZZY LOGIC OPERATIONS
IMPLEMENTATION PLAN
 task                    aug   sept oct   nov   dec   jan   feb   mar   april   may   june

problem search

problem identification

litreture survey

learning of anfis

data collection

experimentation

analysis

result of inference

report writing

final submission
EXPECTED OUTCOME
•   Fuzzy Logic Decision Making is used in many applications
    •   Implemented using fuzzy sets operation(if , then , else
        statements & logical operators)
    •   Resembles human decision making with its ability to work
        from approximate data and find a precise solutions
•   Cost effective FMS(Flexible Manufacturing System) system may
    be dsign
SOME SNAP SHOTS   training the data in anfis editor
SOME SNAP SHOTS   structure of the trained data
RULES of the fuzzy-logic
SURFACE of the fuzzy-logic
Final presentation

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Final presentation

  • 1. NEURO-FUZZY STUDIES OF THE ROLE OF FLEXIBILITY ON PERFORMANCE OF FMS Submitted By :- VIKAS- 0814340053 AJAY YADAV- 0814340005 SHIVANI YADAV- 0814340044 JAGDEEP SINGH- 0814340018
  • 2. CONTENTS • OBJECTIVE • MOTIVATION • LITRATURE SURVEY • METHODOLOGY • IMPLEMENTATION PLAN • EXPECTED OUTCOME
  • 3. HISTORY OF FUZZY LOGIC • 1965 - Fuzzy Sets ( Lofti Zadeh, seminar) • 1966 - Fuzzy Logic ( P. Marinos, Bell Labs) • 1972 - Fuzzy Measure ( M. Sugeno, TIT) • 1974 - Fuzzy Logic Control (E.H. Mamdani) • 1980 - Control of Cement Kiln (F.L. Smidt, Denmatk) • 1987 - Sendai Subway Train Experiment ( Hitachi) • 1988 - Stock Trading Expert System (Yamaichi) • 1989 - LIFE ( Lab for International Fuzzy Eng)
  • 4. OBJECTIVE • TO MAKE INDIAN INDUSTRIES CAST EFFECTIVE • FMS is considered to be highly flexible and highly integrated system , but they cost heavy and most of the Indian industries can not afford this. So it is relevant to find a solution for Indian industries which could offer cost efficient ways to achieve this.
  • 5. MOTIVATION • The machine learning technique in the field of artificial intelligence • Approaches used include fuzzy logic approaches, artificial neural networks, and the application of adaptive-network- based fuzzy inference systems (ANFIS) • Fuzzy logic approaches easily deal with uncertain and incomplete information • Approaches in scheduling of flexible manufacturing systems increased
  • 6. LITRATURE SURVEY • FMS(FLEXIBLE MANUFACTURING SYSTEM) • ARTIFICIAL INTELLIGENCE • NEURO-FUZZY
  • 7. FMS(FLEXIBLE MANUFACTURING SYSTEM) • A manufacturing system in which there is some amount of flexibility that allows the system to react in the case of changes, whether predicted or unpredicted • Comes in the middle of the 1960s • Philosophically, FMS incorporates a system view of manufacturing • We must become managers of technology not merely users of technology by Peter Drucker • Today flexibility means to produce reasonably priced customized products of high quality that can be quickly delivered to customers
  • 8. BASIC COMPONENTS OF FMS • Workstations • Material handling and storage system • Computer control system • People are required to manage and operate the system.
  • 9. AUTOMATED MANUFACTURING CELL Machine Tool Parts Carousel Robot Machine Work table
  • 10. WORKSTATIONS • Load/Unload Stations - Physical interface: FMS and factory • Machining Stations - Most common is the CNC machining centre • Other Processing Stations – sheet-metal fabrication, forging • Assembly - Industrial robots, component placement machines • Other Stations and Equipment -inspection stations, cleaning stations, central coolant delivery and chip removal systems
  • 11. ADVANTAGES OF FMS • Increased machine utilization • Fewer machines required • Reduction in factory floor space required • Greater responsiveness to change • Reduced inventory requirements • Lower manufacturing lead times • Reduced direct labor requirements and higher labor productivity • Opportunity for unattended production
  • 12. DISADVANTAGES OF FMS • Substantial pre-planning activity • Expensive, costing millions of dollars • Sophisticated manufacturing systems • Limited ability to adapt to changes in product or product mix • Technological problems of exact component positioning and precise timing necessary to process a component
  • 13. ARTIFICIAL INTELLIGENCE • “AI is the activity of providing such machines as computers with the ability to display behaviours that would be regarded as intelligent if it were observed in humans” (R. McLeod) • “AI is the study of agents that exist in an environment, perceive and act.” (S. Russel and P. Norvig)
  • 14. ARTIFICIAL NEURAL NETWORK • Computational models that try to emulate the structure of the human brain wishing to reproduce at least some of its flexibility and power. • ANN consist of many simple computing elements – usually simple nonlinear summing operations – highly connected by links of varying strength • ANNs are able to learn from examples • Function approximations • Solutions not always correct • ANNs are able to generalize the acquired knowledge
  • 15. TRAINING • Weight values change during the training process • Values are presented at the inputs and outputs are compared to the desired values. • Wrong outputs cause weights to change in order to reduce the error • Process is repeated with different inputs till the ANN is able to give the correct answers • Hopefully the ANN will be able to give the correct answer even to inputs that were not trained.
  • 16. FUZZY LOGIC : AN IDEA 1.0
  • 17. FUZZY LOGIC • Introduced by Lofti Zadeh (1965) • It is a powerful problem-solving methodology • Builds on a set of user-supplied human language rules • It deals with uncertainty and ambiguous criteria or values • Example: “the weather outside is cold” • but, how cold is actually the coldness you described? • What do you mean by „cold‟ here? • As you can see a particular temperature is cold to one person but it is not to another • It depends on one‟s relative definition of the said term
  • 18. FUZZY SETS • Formal definition: • A fuzzy set A in X is expressed as a set of ordered pairs: A {( x, A ( x ))| x X} Membership Universe or Fuzzy set function universe of discourse (MF) A fuzzy set is totally characterized by a membership function (MF).
  • 19. Most natural language is bounded with vague and imprecise concepts • Example: • “He is quite tall” • “The student is intelligent” • “Today is a very hot day” • These statements are difficult to translate into more precise language • Fuzzy logic was introduced to design systems that can demonstrate human-like reasoning capability to understand such vague terms
  • 20. DIFFERENCES BETWEEN FUZZY LOGIC AND CRISP LOGIC • CRISP LOGIC • FUZZY LOGIC • precise properties • Imprecise properties • Full membership • Partial membership • YES or NO • YES ---> NO • TRUE or FALSE • TRUE ---> FALSE • 1 or 0 • 1 ---> 0 • Crisp Sets • Fuzzy Sets • she is 18 years old • she is about 18 years old • man 1.6m tall • man about 1.6m tall
  • 21. HOW DOES FUZZY LOGIC RESEMBLES HUMAN INTELLIGENCE? • It can handle at certain level of imprecision and uncertainty • By clustering & classification • dividing the scenario/problems into parts • focusing on each part with rank of importance and alternatives to solve • combining the parts to as an integrated whole • It reflects some forms of the human reasoning process by • Setting hypothetical rules • Performing inferencing • Performing logic reasoning on the rules
  • 22. METHODOLOGY EXAMPLE: FUZZY INFERENCE • Inputs to a fuzzy system can be: – fuzzy, e.g. (Score = Moderate), defined by membership functions; – exact, e.g.: (Score = 190); defined by crisp values • Outputs from a fuzzy system can be: – fuzzy, i.e. a whole membership function. – exact, i.e. a single value is produced
  • 23. EXAMPLE: FUZZY INFERENCE • Inputs to a fuzzy system can be: – fuzzy, e.g. (Score = Moderate), defined by membership functions; – exact, e.g.: (Score = 190); defined by crisp values • Outputs from a fuzzy system can be: – fuzzy, i.e. a whole membership function. – exact, i.e. a single value is produced
  • 24. WHAT IS THE DIFFERENCE BETWEEN CLASSICAL AND FUZZY RULES? Consider the rules in fuzzy form, as follows: Rule 1 Rule 2 IF driving_speed is fast IF driving_speed is slow THEN stop_distance is long THEN stop_distance is short In fuzzy rules, the linguistic variable speed can have the range between 0 and 220 km/h, but the range includes fuzzy sets, such as slow, medium, fast. Linguistic variable stop_distance can take either value: long or short. The universe of discourse of the linguistic variable stop_distance can be between 0 and 300m and may include such fuzzy sets as short, medium, and long.
  • 25. FUZZY LOGIC METHODOLOGY • Set the boundaries between two values(cold and hot) which will show the degrees of temperature • A sample set of rules • IF temperature is cold THEN set fan speed to zero • IF temperature is cool THEN set fan speed to low • IF temperature is warm THEN set fan speed to medium • IF temperature is hot THEN set fan speed to high
  • 26. DESIGN A SET OF FUZZY RULES FOR AN ELECTRICAL WASHING MACHINE IF Load_Weight is heavy THEN set Water_Amount to full IF Load_Weight is not_so_heavy THEN set Water_Amount to three_quarter IF Load_Weight is not_so_light THEN set Water_Amount to half IF Load_Weight is light THEN set Water_Amount to quarter Or IF Load Weight is heavy THEN set Water Amount to maximum IF Load Weight is medium THEN set Water Amount to regular IF Load Weight is light THEN set Water Amount to minimum
  • 27. ALTERNATIVE NOTATION • A fuzzy set A can be alternatively denoted as follows: A A ( xi ) / xi X is discrete xi X X is continuous A A (x) / x X Note that S and integral signs stand for the union of membership grades; “/” stands for a marker and does not imply division.
  • 28. FUZZY LOGIC OPERATIONS • Fuzzy Logic Operators are used to write logic combinations between fuzzy notions (i.e. to perform computations on degree of membership) • Zadeh operators 1. Intersection: The logic operator corresponding to the intersection of sets is AND µ(A AND B) = MIN (µA,µB) 2. Union: The logic operator corresponding to the union of sets is OR µ(A OR B) = MAX (µA,µB) 3. Negation: The logic operator corresponding to the complement of a set is the negation µ(NOTA) = 1-µA
  • 30. IMPLEMENTATION PLAN task aug sept oct nov dec jan feb mar april may june problem search problem identification litreture survey learning of anfis data collection experimentation analysis result of inference report writing final submission
  • 31. EXPECTED OUTCOME • Fuzzy Logic Decision Making is used in many applications • Implemented using fuzzy sets operation(if , then , else statements & logical operators) • Resembles human decision making with its ability to work from approximate data and find a precise solutions • Cost effective FMS(Flexible Manufacturing System) system may be dsign
  • 32. SOME SNAP SHOTS training the data in anfis editor
  • 33. SOME SNAP SHOTS structure of the trained data
  • 34. RULES of the fuzzy-logic
  • 35. SURFACE of the fuzzy-logic