PREFACE

This book is dedicated to the exploration of some of the Ontological and Epistemological issues of Fuzzy sets and Fuzzy logics proposed by L.A. Zadeh. It is essential to state the main difference between Classical and Fuzzy sets and logics at the start. In Fuzzy sets and logics, every word, concept or proposition is allowed to be a matter of degree. In the mathematical treatment, generally, words, propositions and sentences are represented by sets. Sets specify the meaning associated with words, or sentences. Naturally, sets can be represented either as two-valued classical sets or as fuzzy (infinite)-valued sets. Once words are represented by sets, the associated meaning of words gains a description in terms of the mapping that is ...

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