Crisp sets and fuzzy sets
Axiomatic systems for rough sets and fuzzy rough sets
... rough sets were based on set-theoretical methods ...rough sets or studied axiomatic system for fuzzy rough sets, but not ...rough sets both in case of crisp sets and in ...
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QUALITATIVE COMPARATIVE ANALYSIS AND FUZZY SETS
... with crisp sets, it is possible to partition coverage to assess the degree of overlap of the causal ...With crisp sets, a case is either covered by a combination or its not ...With ...
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Plithogenic Set, an Extension of Crisp, Fuzzy, Intuitionistic Fuzzy, and Neutrosophic Sets - Revisited
... of fuzzy set, intuitionistic fuzzy set, and neutrosophic set to the plithogenic set; the extension of classical logic, fuzzy logic, intuitionistic fuzzy logic and neutrosophic logic to ...
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Extension of Crisp Functions on Neutrosophic Sets
... L-fuzzy sets constitute a generalization of the notion of Zadeh's [26] fuzzy sets and were introduced by Goguen [8] in 1967, later Atanassov introduced the notion of the intui- tionistic ...
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Multi fuzzy sets and their correspondence to other sets
... nonempty crisp set and L be a complete lattice. An L-fuzzy set [5] on X is a mapping A : X → L, and the family of all the L-fuzzy sets on X is just L X consisting of all the mappings from X ...
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MUTANT FUZZY SETS
... mutant fuzzy sets that by adhering to the classical sense in any semigroups has been introduced and its some of structural properties have been ...for fuzzy sets on any crisp set has ...
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A Literature Survey: Classification Of Soft Sets & Fuzzy Sets
... mathematics, fuzzy sets whose elements have degrees of membership. Fuzzy mathematics is the study of fuzzy structures, such mathematical structures that at some points replace the two ...
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On Construction of Codes by using Fuzzy Sets and Soft Sets
... Fuzzy sets were introduced by Lotfi ...of crisp set (classical set).Fuzzy set theory permits the gradual assessment of themembership of elements in a set which is described in the interval ...
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Fuzzy in 3-D: Contrasting Complex Fuzzy Sets with Type-2 Fuzzy Sets
... A. Fuzzy Inferencing Systems It is via the Fuzzy Inferencing System (FIS) 1 that fuzzy sets are put to ...applying fuzzy logic operators to common- sense linguistic ...a crisp ...
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On Intuitionistic Fuzzy Rough Sets
... theory, fuzzy set theory and Intuitionistic fuzzy set theory deal with sets having imprecise ...with fuzzy set theory and intuitionistic fuzzy set ...intuitionistic fuzzy rough ...
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Quantification of R Fuzzy sets
... with fuzzy set theory, the most fundamental aspect of fuzzy set theory is its understanding of ...A fuzzy number is ideal for describing linguistic phenomena, where an exact description of its state ...
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A Theory of Lattice Valued Fuzzy Sets and Fuzzy Maps Between Different Lattice Valued Fuzzy Sets – Revisited
... both Fuzzy and Interval Valued Fuzzy Set ...the crisp (Sub)Set-Map-Properties to: L-valued f-(sub) sets, f-maps between L-valued f-sets and M-valued f-sets, where the complete ...
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ON 𝒑𝜶 CLOSED SETS, 𝒑𝜶 CONTINUITY AND 𝜶 𝒑 ALMOST COMPACTNESS FOR CRISP SUBSETS OF A FUZZY TOPOLOGICAL SPACE
... in fuzzy setting by using the concept of fuzzy cover [2] of a fuzzy topological space (fts, for short) ...of fuzzy cover by introducing the concept of 𝛼-shading ...
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Extended Generalization of Fuzzy Rough Sets
... a crisp covering of a non-empty universal set of objects 𝑈, denoted by 𝐶 = {𝐶 , 𝐶 , ⋯ , 𝐶 } is given by a family of subsets of 𝑈 such that 𝑈 = ⋃{𝐶 |𝑖 = 1 , ⋯ , ...weak fuzzy similarity relation as a ...
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On Cores and Stable Sets for Fuzzy Games
... cooperative crisp game each player may have only two variants of participation in a crisp coalition: full participation or non-involvement at ...considering fuzzy cooperation, that is participation ...
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Intertemporal Choice of Fuzzy Soft Sets
... should be selected, we face an infinite number of fuzzy soft sets (one that represents each possible period). Neither of the existing approaches to fuzzy soft set based decision making can deal with ...
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Fuzzy sets in Data mining- A Review
... 1.1. Fuzzy Logic Fundamentals The concept of Fuzzy Logic (FL) was conceived by Lotfi Zadeh, a professor at the University of California at Berkley, and presented not as a control methodology, but as a way ...
6
Soft rough fuzzy sets and soft fuzzy rough sets
... rough fuzzy set model is that a soft set, rather than an equivalence relation, is used to granulate the universe of ...a fuzzy soft set to granulate the universe of ...soft sets and fuzzy ...
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On Fuzzy e^*-Open Sets and Fuzzy (D,S)^*-Sets
... of fuzzy sets and some new classes of fuzzy continuity namely fuzzy e ∗ -open sets, fuzzy (, S)-sets, fuzzy (S, ε )-sets, fuzzy (, S) ∗ -sets, ...
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On Fuzzy Sets in Hypersemigroups
... Note. The results of the present paper in which the word “fuzzy” is not included, that is Lemma 5.1, Corollary 5.2, Remark 5.3 and Proposition 5.7 come directly from the poe-semigroups (that is, from ordered ...
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