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- W2166043922 abstract "Recent concerns about the foundations of fuzzy logic could effectively be responded in the positive. That is there is logic in fuzzy logic in the narrow sense as indicated by Zadeh. In order to explain the fundamentals of fuzzy logic, we present a systematic: development of classical as well as fuzzy logics. This is done first separating the notions of membership assignment of elements to sets and truth assignment to propositions. Next we discuss the formation of truth tables for both the classical and fuzzy logic theories. Then we consider the derivation of canonical forms for the basic combination of concepts. Under various axiomatic assumptions, it can be shown that there are various categories of fuzzy logics as well as classical logic within the same framework. ‘ In addition, however, it is also shown that current literature on fuzzy logic discusses a myopic version of fuzzy logic that is proposed in this paper. This is in fact tums out to be the case since current papers do not ask the fundamental question: “What are the basic formulae of fuzzy theory?” Instead most papers just fuzzify the Boolean Normal form expressions by inserting fuzzy values into those formulae. This may be the reason why some skeptics still question whether there is logic in fuzzy logic be it in the narrow sense. With the proposed formation of fuzzy truth tables and the derivation of canonical forms, a positive constructive response is provided to the critiques of the current literature of fuzzy logic. But along the way, while getting a flexible theory, we-have to face up to additional uncertainty and hence complexity that one has to deal with for better knowledge representation and reasoning purposes. That is one has to harness the Type I1 fuzziness and its impact on decision-making and control. etc." @default.
- W2166043922 created "2016-06-24" @default.
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- W2166043922 date "1997-01-01" @default.
- W2166043922 modified "2023-09-26" @default.
- W2166043922 title "FUZZY LOGIC: REVIEW OF RECENT CONCERNS" @default.
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