NDLI: Modeling Consensus and Competition with improper S-Implications

Content Provider	IEEE Xplore Digital Library
Author	Whalen, T.
Copyright Year	2006
Description	Author affiliation: Dept. of Managerial Sci., Georgia State Univ., Atlanta, GA (Whalen, T.)
Abstract	This paper discusses an approach to modeling rule interaction using a family of improper S-implications derived from an extension of the Schweizer-Sklar family of parameterized improper t-norms defined over -infin < p <+infin. Improper S-implications define a relation whose membership grade can exceed 100%. The advantage of this is that when improper S-implications are used to interpolate between fuzzy points, they provide a reasonable definition of a unique best defuzzified consequent value even when the corresponding proper S-implication leads to multiple consequent values that fully satisfy the rules embodying the fuzzy points. When the output from a fuzzy rule based system using improper S-implications is defuzzified using mode defuzzification, the parameter p determines the degree to which the output represents a consensus between different rules (versus a fuzzy switching between whichever rule is dominant depending on the antecedent variable). After reviewing the foundations for the method, the paper illustrates it using two examples. Similar results to these could be obtained by varying the shapes of the antecedent and consequent membership functions of the rules themselves, but doing so by varying the parameter of the implication operator achieves the effect using a single parameter in a more systematic way
Starting Page	372
Ending Page	377
File Size	1416933
Page Count	6
File Format	PDF
ISBN	1424403626
DOI	10.1109/NAFIPS.2006.365438
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-06-03
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Fuzzy sets Fuzzy systems Fuzzy logic Knowledge based systems Shape Interpolation Geography H infinity control Political Geography Fuzzy connectives and aggregation operators Non-classical logics S-Implication Defuzzification Rule Interaction Improper Membership
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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