Fuzzy Sets and Membership
Measuring the directional or non-directional distance between type-1 and type-2 fuzzy sets with complex membership functions
... Abstract—Fuzzy sets may have complex, non-normal or non- convex membership functions that occur, for example, in the output of a fuzzy logic system or when automatically generating ...
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BAYESIAN SEMIPARAMETRIC REGRESSION WITH FUZZY SETS
... using fuzzy sets and membership functions. The membership functions are interpreted as likelihood functions for the model, and we prove some theorems about posterior and Bayes ...
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Soft rough fuzzy sets and soft fuzzy rough sets
... of fuzzy sets and soft ...of fuzzy sets initiated by Zadeh provides an appropriate framework for representing and processing vague concepts by allowing partial ...A fuzzy set µ in U is ...
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Fuzzy in 3-D: Contrasting Complex Fuzzy Sets with Type-2 Fuzzy Sets
... using membership grades that are themselves precise real ...the fuzzy set to allow the distinction between grades of membership to become ...blurred. Sets described in this way are known as ...
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Empirical Fuzzy Sets
... describing fuzzy sets (FSs) and a new form of fuzzy rule-based (FRB) systems, namely, empirical fuzzy sets (εFSs) and empirical fuzzy rule-based (εFRB) ...the membership ...
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Multi fuzzy sets and their correspondence to other sets
... multi-fuzzy sets with product order and dictionary order on their membership ...multi-fuzzy sets and other sets such as intuitionistic fuzzy sets, type-2 ...
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A comparative study of Level II fuzzy sets and Type II fuzzy sets
... all fuzzy sets then a type II fuzzy set is a function from A ~ : X F 0 , 1 Set theoretic operations and algebraic operations are defined on type II fuzzy set concentrate more on ...
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A Literature Survey: Classification Of Soft Sets & Fuzzy Sets
... of fuzzy set theory, to identify the membership degrees of fuzzy sets with truth degrees of a suitable many-valued ...toward fuzzy set theory has been one of the motivations behind the ...
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On Starshaped Intuitionistic Fuzzy Sets
... Intuitionistic Fuzzy Starshaped Sets, Cut Sets, Starshapedness, Convex Sets ...of fuzzy set was proposed by Zadeh in 1965, it has been widely used such as fuzzy control, ...
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Quantification of R Fuzzy sets
... R-Fuzzy sets and type-2 fuzzy sets, so as to provide a practical means to express complex uncertainty without the associated difficulty of a type-2 fuzzy ...the membership values ...
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Fuzzy Granularity in the Knowledge-based Dynamic Fuzzy Sets
... of fuzzy sets with different interpretations, it is possible to combine them to provide a more general ...a membership function of a fuzzy set given by a specific knowledge is possibly ...
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Data Analysis with Fuzzy Measure on Intuitionistic Fuzzy Sets
... non-convex fuzzy membership functions [8]. As an extension of fuzzy sets, IFSs and vague sets were introduced by Atanassov and Gau and Buehrer, and other authors ...to membership ...
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Fuzzy querying with the use of interval-valued fuzzy sets
... a membership degree or in other words a fulfilment degree of query ...traditional fuzzy set (FS) may appear an insu fficient tool. Values of membership degrees are not always unique as it is re- ...
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Extending similarity measures of interval type 2 fuzzy sets to general type 2 fuzzy sets
... lower membership value of the FS A ˜ at x i , µ A ˜ (x i ) denotes the upper membership value of A ˜ at x i , and n is the total number of discretisations along the x- ...disjoint sets increases ...
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Extended Generalization of Fuzzy Rough Sets
... generalized fuzzy rough sets provide several approximations of membership degrees started from lower to upper approximations in which they are regarded as interval valued fuzzy ...generalized ...
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On Interval-Valued Fuzzy on Ideal Sets
... the membership of elements to a given set is assessed in binary ...introduced fuzzy sets, where elements have degrees of membership, not just 0 or ...a fuzzy set is a mapping from U ...
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QUALITATIVE COMPARATIVE ANALYSIS AND FUZZY SETS
... Once it has been established that a set-theoretic relation exists, it is reasonable to assess its coverage (sufficiency) or relevance (necessity). If X is a subset of Y, this assessment is the same asking how important ...
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FUZZY SONG SETS FOR MUSIC WAREHOUSES
... a membership degree representing how the proposed song is relevant in the context of the ...low membership degree is given when the users believes the song should not have been ...
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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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