1996
DOI: 10.1007/bf00117814
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On the interpretation of fuzzy if then rules

Abstract: The basic algorithm for reasoning in the fuzzy systems modeling method is introduced. Two classes of operators for interpreting the rules in these models are described, the Mamdani-Zadeh operator and the logical operator. The basic characteristics of these operators are presented and it is shown that the two classes of operators are distinguished by their response to a zero firing level. A class of Mamdani-Zadeh operators based upon the residuation operation is presented. A comparison is made between the perfo… Show more

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Cited by 15 publications
(9 citation statements)
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“…In the example of "if X value is A, then let Y value be B", A and B are verbal words and they indicate to which status X and Y values pertain to in fuzzy sets X and Y. As rules are processed in order, result found is processed to exits indicated by following equations and rules for new type fuzzy logic approach within the rules related with entry values made fuzzy themselves (Yager, 1996).…”
Section: Proposed Fuzzy Logic Methods and Application Proposed Method:mentioning
confidence: 99%
“…In the example of "if X value is A, then let Y value be B", A and B are verbal words and they indicate to which status X and Y values pertain to in fuzzy sets X and Y. As rules are processed in order, result found is processed to exits indicated by following equations and rules for new type fuzzy logic approach within the rules related with entry values made fuzzy themselves (Yager, 1996).…”
Section: Proposed Fuzzy Logic Methods and Application Proposed Method:mentioning
confidence: 99%
“…Hence, the assumptions bring a filtering effect, which may loose the vital imprecise parts of the basic information. Therefore, the fuzzy logic approach has become convenient for modelling such situations (Dubois & Prade, 1991, 1996Mamdani, 1977;Russo & Jain, 2001;Wang & Mendel, 1992;Yager, 1996;Zadeh, 1968). …”
Section: Fuzzy Systems and Rulesmentioning
confidence: 98%
“…If the harmony variable is obtained from HM, then fine-tune the harmony variable. Specifically, a random number r2 is generated between [0,1]…”
Section: A Basic Harmony Search (Hs) Algorithmmentioning
confidence: 99%
“…Production Rule with 'IF-THEN' formalism is one of the most common representation forms of knowledge in the field of artificial intelligence, which not only has the advantages to understand and to add easily but also to delete or to update related information [1]. To improve the representation ability of traditional production rule, a weighted fuzzy production rule (WFPR) was produced to express vague knowledge [2].…”
Section: Introductionmentioning
confidence: 99%