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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Concluding Remarks, they did not have anything against the three- and multi-valued logics of Jan Lukasiewicz. Thus I reached the conclusion that the reason for the then negative attitude towards fuzzy sets was hidden in the presence of the [0, 1] interval as the set of the fuzzy sets’ membership function (see, e.g, [3

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978-3-642-44259-9Springer-Verlag Berlin Heidelberg 2012

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On Intuitionistic Fuzzy Sets Theory978-3-642-29127-2Series ISSN 1434-9922 Series E-ISSN 1860-0808

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Krassimir T. AtanassovState-of-art research on Intuitionistic Fuzzy Sets Theory.Comprehensive report of the past twelve years research of the author (and not only) on intuitionistic fuzzy sets theory.Written by a leading e

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Operations and Relations over IFSs,In this Section, operations and relations over IFSs extending the definitions of the relations and operations over fuzzy sets (see e.g. [218, 297, 301, 612]) are introduced. Conversely, the fuzzy sets relations and operations will turn out to be particular cases of these new definitions.

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Extended Modal Operators,Following [18, 19, 39], we construct an operator which represents both operators □ from (4.1) and . from (4.2). It has no analogue in the ordinary modal logic, but the author hopes that the search for such an analogue in modal logic will be interesting.

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