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Published in:
Elements of Intuitionistic Fuzzy Propositional Calculus Read chapter Read first chapter

2017 | OriginalPaper | Chapter

4. Temporal and Multidimensional Intuitionistic Fuzzy Logics

Author : Krassimir T. Atanassov

Published in: Intuitionistic Fuzzy Logics

Publisher: Springer International Publishing

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Abstract

The first results in temporal intuitionistic fuzzy logic appeared in 1990 (see Atanassov, Remark on a temporal intuitionistic fuzzy logic, 1990, [1]) on the basis of ideas from Karavaev (Foundations of temporal logic, 1983, [2]). However, the first example for their application was only proposed as early as 15 years later, in Atanassov (On intuitionistic fuzzy sets theory, 2012, [3]). The concept of the temporal IFL was extended to the concept of multidimensional intuitionistic fuzzy logic in a series of papers of the author together with E. Szmidt and J. Kacprzyk.

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Literature
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Atanassov K. Remark on a temporal intuitionistic fuzzy logic. Second Scientific Session of the “Mathematical Foundation Artificial Intelligence” Seminar, Sofia, March 30. Preprint IM-MFAIS-1-90, Sofia, 1990. p. 1–5, Reprinted: Int J Bioautomation. 2016;20(S1):S63-S68.
2.
Karavaev E. Foundations of temporal logic. Leningrad: Leningrad University Publishing House; 1983 (in Russian).
3.
4.
Atanassov K, Szmidt E, Kacprzyk J. On intuitionistic fuzzy multi-dimensional sets. Issues Intuitionistic Fuzzy Sets Gen Nets. 2008;7:1–6.MathSciNetMATH
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Atanassov K, Szmidt E, Kacprzyk J, Rangasamy P. On intuitionistic fuzzy multi-dimensional sets. Part 2. In: Advances in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Vol. I: Foundations. Warszawa: Academic. 2008. P. 43–51.
6.
Atanassov K, Szmidt E, Kacprzyk J. On intuitionistic fuzzy multi-dimensional sets. Part 3. In: Developments in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics, Vol. I: Foundations. Warsaw: SRI Polish Academy of Sciences. 2010. P. 19–26.
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Atanassov K, Georgiev I, Szmidt E, Kacprzyk J. Multidimensional intuitionistic fuzzy quantifiers. In: Proceedings of the 8th IEEE Conference “Intelligent Systems”, Sofia, 4–6 September 2016 pp. 530–534.
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Metadata
Title
Temporal and Multidimensional Intuitionistic Fuzzy Logics
Author
Krassimir T. Atanassov
Copyright Year
2017
Book
Intuitionistic Fuzzy Logics

Print ISBN: 978-3-319-48952-0

Electronic ISBN: 978-3-319-48953-7

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-48953-7_4

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