Titlebook: Interval-Valued Intuitionistic Fuzzy Sets; Krassimir T. Atanassov Book 2020 Springer Nature Switzerland AG 2020 Intuitionistic Fuzzy Sets.

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Krassimir T. AtanassovCovers cutting-edge theories concerning interval-valued intuitionistic fuzzy sets.Gives emphasis to some novel applications.Offers a thorough introduction to relations and operations on interval value

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Interval-Valued Intuitionistic Fuzzy Sets978-3-030-32090-4Series ISSN 1434-9922 Series E-ISSN 1860-0808

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极力证明

Relations and Operations over IVIFSs,In this chapter, the basic definitions and properties of the relations and operations over IVIFSs will be discussed. We omit the majority of the proofs below, which are, in general, analogous to the proofs from [4, 5] for IFSs.

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Operators over IVIFSs,In this chapter, we discuss modal (of two types), level (of two types) and topological operators, defined over IVIFSs and study some of their basic properties. We prove only these assertions that do not have analogues in the IFS-case. The proofs of the remaining assertions are similar to the proofs, given, e.g., in [., .].

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Interval Valued Intuitionistic Fuzzy Pairs,The concept of an Interval Valued Intuitionistic Fuzzy Pair (IVIFP) was introduced in [.] by Peter Vassilev, Janusz Kacprzyk, Eulalia Szmidt and the author.