Interval-valued Fuzzy Soft Sets [PDF]
This paper extends the work of Maji et al. (2001) to present the concept of interval-valued fuzzy soft sets and to present an algorithm for finding where the degree of membership are represented by interval values in [0, 1]. The proposed method is more flexible than the one presented in Maji et al.
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Comments on: Interval Type-2 Fuzzy Sets are generalization of Interval-Valued Fuzzy Sets: Towards a Wider view on their relationship [PDF]
This Letter makes some observations about [2] that further support the distinction between an interval type-2 fuzzy set (IT2 FS) and an interval-valued fuzzy set (IV FS), points out that all operations, methods and systems that have been developed and ...
Bustince, H +3 more
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Characterizations of Ordered Semigroups by New Type of Interval Valued Fuzzy Quasi-Ideals
The concept of non-k-quasi-coincidence of an interval valued ordered fuzzy point with an interval valued fuzzy set is considered. In fact, this concept is a generalized concept of the non-k-quasi-coincidence of a fuzzy point with a fuzzy set.
Jian Tang, Xiangyun Xie, Yanfeng Luo
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Uncertainty representation of grey numbers and grey sets [PDF]
In the literature there is a presumption that a grey set and an interval-valued fuzzy set are equivalent. This presumption ignores the existence of discrete components in a grey number. In this paper new measurements of uncertainties of grey numbers and
John, Robert, Liu, Sifeng, Yang, Yingjie
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Interpretable Monotonicities for Entropies of Intuitionistic Fuzzy Sets or Interval-valued Fuzzy Sets [PDF]
Monotonicity is a major property of entropy measures. In this paper, we focus on entropy measures for intuitionistic fuzzy sets and interval-valued fuzzy sets. We consider their polar representation which provides an easy interpretation of monotonicity for several entropy measures introduced in the literature.
Marsala, Christophe +1 more
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Hesitant fuzzy sets, permitting the membership of an element to be a set of several possible values, can be used as an efficient mathematical tool for modelling people’s hesitancy in daily life. In this paper, we extend the hesitant fuzzy set to interval-
Zhiming Zhang
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Quasi-arithmetic means and OWA functions in interval-valued and Atanassov's intuitionistic fuzzy set theory [PDF]
In this paper we propose an extension of the well-known OWA functions introduced by Yager to interval-valued (IVFS) and Atanassov’s intuitionistic (AIFS) fuzzy set theory.
Deschrijver, Glad
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Modeling uncertainties associated with decision-making algorithms based on similarity measures of possibility belief interval-valued fuzzy hypersoft setting [PDF]
Hypersoft sets (HSSs) were initiated as an extension of soft sets (SSs) to address real-life scenarios involving multiple disjoint sets with di erent traits.
Mamika Ujianita Romdhini +3 more
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Specificity for interval-valued fuzzy sets [PDF]
In this paper some axiomatic definitions about specificity for interval-valued fuzzy sets are proposed. Some examples of measures of specificity for interval-valued fuzzy sets are showed. It is also defined a extension of the notion of alpha cut for interval-valued fuzzy sets and a generalized similarity for intervalvalued fuzzy relations. An axiomatic
Ramón González-del-Campo +2 more
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On Uncertainty Measures of the Interval-Valued Hesitant Fuzzy Set
Interval-valued hesitant fuzzy sets (IVHFS), as a kind of decision information presenting tool which is more complicated and more scientific and more elastic, have an important practical value in multiattribute decision-making.
Yingjun Xu
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