The Experts below are selected from a list of 315 Experts worldwide ranked by ideXlab platform
S. P. Tiwari - One of the best experts on this subject based on the ideXlab platform.
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On bijective correspondence between IF-preorders and saturated IF-topologies
International Journal of Machine Learning and Cybernetics, 2013Co-Authors: S. P. Tiwari, Anupam SinghAbstract:The purpose of the present work is to provide some characterizations of the condition used to show the bijective correspondence between the family of all IF-preorders and the family of all saturated IF-topologies on a Nonempty Set.
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Fuzzy rough Sets, fuzzy preorders and fuzzy topologies
Fuzzy Sets and Systems, 2013Co-Authors: S. P. Tiwari, Arun K. SrivastavaAbstract:This paper shows that observations made by different authors at different times regarding one-to-one correspondence between the family of fuzzy preorders on a Nonempty Set and the family of all fuzzy topologies on this Set satisfying certain extra conditions are essentially equivalent.
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On bijective correspondence between IF-preorders and saturated
2013Co-Authors: S. P. Tiwari, Anupam SinghAbstract:The purpose of the present work is to provide some characterizations of the condition used to show the bijective correspondence between the family of all IF- preorders and the family of all saturated IF-topologies on a Nonempty Set.
Liu Gui - One of the best experts on this subject based on the ideXlab platform.
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Lattice Theory Properties of Fuzzy Rough Sets
Computer Science, 2003Co-Authors: Liu GuiAbstract:Let U denote a finite and Nonempty Set called the universe, and P(U) a power Set. Suppose R is an equivalence relation on U. Consider the equivalence relation ≈(X≈=YRX= RY and RX = RY, X,Y,∈(U)) on F(U), the quotient Set denoted by F(U)/#. In this paper we show that F(U)/≈ is a distributive lattice.
Anupam Singh - One of the best experts on this subject based on the ideXlab platform.
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On bijective correspondence between IF-preorders and saturated IF-topologies
International Journal of Machine Learning and Cybernetics, 2013Co-Authors: S. P. Tiwari, Anupam SinghAbstract:The purpose of the present work is to provide some characterizations of the condition used to show the bijective correspondence between the family of all IF-preorders and the family of all saturated IF-topologies on a Nonempty Set.
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On bijective correspondence between IF-preorders and saturated
2013Co-Authors: S. P. Tiwari, Anupam SinghAbstract:The purpose of the present work is to provide some characterizations of the condition used to show the bijective correspondence between the family of all IF- preorders and the family of all saturated IF-topologies on a Nonempty Set.
Arun K. Srivastava - One of the best experts on this subject based on the ideXlab platform.
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Fuzzy rough Sets, fuzzy preorders and fuzzy topologies
Fuzzy Sets and Systems, 2013Co-Authors: S. P. Tiwari, Arun K. SrivastavaAbstract:This paper shows that observations made by different authors at different times regarding one-to-one correspondence between the family of fuzzy preorders on a Nonempty Set and the family of all fuzzy topologies on this Set satisfying certain extra conditions are essentially equivalent.
Xue-ping Wang - One of the best experts on this subject based on the ideXlab platform.
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On the uniqueness of L-fuzzy Sets in the representation of families of Sets
Fuzzy Sets and Systems, 2018Co-Authors: Xue-ping WangAbstract:Abstract This paper deals with the uniqueness of L -fuzzy Sets in the representation of a given family of subSets of a Nonempty Set. It first shows a formula of the number of L -fuzzy Sets whose collection of cuts coincides with a given family of subSets of a Nonempty Set, and then provides a necessary and sufficient condition under which such L -fuzzy Set is unique.