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Titlebook: On Intuitionistic Fuzzy Sets Theory; Krassimir T. Atanassov Book 2012 Springer-Verlag Berlin Heidelberg 2012 Fuzziness.Fuzzy Logic.Fuzzy S

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楼主: 解毒药
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On Two New Extensions of Intuitionistic Fuzzy Sets,An year after defining IFSs, in 1984, Stefka Stoeva and the author extended the concept of IFS to “Intuitionistic .-fuzzy set”, where . is some lattice, and they studied some of its basic properties [103]. All these results are included in [39] and hence, they not be discussed here.
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https://doi.org/10.1007/978-3-642-29127-2Fuzziness; Fuzzy Logic; Fuzzy Sets; Intuitionistic Fuzzy Extensions; Intuitionistic Fuzzy Operations; Int
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Geometrical Interpretations of IFSs,e in this Section two interpretations of IFSs are given, following [20]. In Section ., we discuss even more. There exist seven different geometrical interpretations so far. The most relevant of them are discussed below.
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Modal and Topological Operators Defined over IFSs,duce two operators over IFSs that transform an IFS into a fuzzy set (i.e., a particular case of an IFS). They are similar to the operators . and . defined in some modal logics. Their properties resemble these of the modal logic (see e.g. [227]).
发表于 2025-3-26 03:10:55 | 显示全部楼层
On the Concept of Intuitionistic Fuzzy Sets,So the first research works of mine in this area followed, step-by-step, the existing results in fuzzy sets theory. Of course, some concepts are not so difficult to extend formally. It is interesting to show that the respective extension has specific properties, absent in the basic concept.
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Norms and Metrics over IFSs or Their Elements, all IFSs (and hence, all fuzzy sets) over a fixed universe . generate a metric space (in the sense of [421]), but with a special metric (cf., e.g., [301]): one that is not related to the elements of . and to the values of the functions .. and .. defined for these elements.
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1434-9922 ) on intuitionistic fuzzy sets theory.Written by a leading e.This book aims to be a  comprehensive and accurate survey of state-of-art research on intuitionistic fuzzy sets theory and could be considered a continuation and extension of the author´s previous book on Intuitionistic Fuzzy Sets, publish
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