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Journal of Applied Science and Engineering, 2022 Although the systematic emergence of the fuzzy functional analysis theory has started in the last few years, we are starting to construct a new theory of fuzzy operator ideals inspired by the classical (crisp) operator ideals theory.
Laith K. Shaakir +2 more
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A contractive mappings on fuzzy normed linear spaces [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2016 In this paper, we use the definition of fuzzy normed spaces given by Bag and Samanta and provide four types of fuzzy versions of contraction. We show that these mappings necessarily have unique fixed points in fuzzy normed linear spaces.
Morteza Saheli
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rivista” FUZZY POSSIBILITIES AS UPPER PREVISIONS [PDF]
, 2003 In this paper we analyze, mainly in a finitary setting, the consistency properties of fuzzy possibilities, interpreting them as instances of upper previsions and applying the basic notions of avoiding sure loss and coherence from the theory of imprecise ...
Luca Bortolussi, Paolo Vicig
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A Probabilistic Integral Study of Quasiproduct Overa Nonadditive Measure
Journal of Harbin University of Science and Technology, 2021 In this paper, a definition of non additive measure is given, which has F-addability; the Einstein calculater is optimized, and the λ-fuzzy quasiproduct operator and λ-fuzzy quasi sum operator with adjustable parameters for practical problems are ...
ZHAO Hui, ZHANG Xiao-xue, ZHANG Shao-xin
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Fuzzy Description Logics and t-norm based fuzzy logics
International Journal of Approximate Reasoning, 2010 Description Logics (DLs) are knowledge representation languages built on the basis of classical logic. DLs allow the creation of knowledge bases and provide ways to reason on the contents of these bases. Fuzzy Description Logics (FDLs) are natural extensions of DLs for dealing with vague concepts, commonly present in real applications.
Garcı´a-Cerdaña, Àngel +2 more
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The Operators' Theorems on Fuzzy Topological Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2022 Three types of fuzzy topologies defined on fuzzy normed linear spaces are considered in this paper. First, the relationshipbetween fuzzy continuity of linear operators and fuzzy boundedness is investigated.
Morteza Saheli +2 more
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Partial orderings for hesitant fuzzy sets [PDF]
, 2017 New partial orderings =o=o, =p=p and =H=H are defined, studied and compared on the set HH of finite subsets of the unit interval with special emphasis on the last one.
Garmendia Salvador, Luis +2 more
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Aggregation of Weak Fuzzy Norms [PDF]
Symmetry, 2021 Aggregation is a mathematical process consisting in the fusion of a set of values into a unique one and representing them in some sense. Aggregation functions have demonstrated to be very important in many problems related to the fusion of information. This has resulted in the extended use of these functions not only to combine a family of numbers but ...
Tatiana Pedraza +2 more
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On the Normed Space of Equivalence Classes of Fuzzy Numbers
The Scientific World Journal, 2013 We study the norm induced by the supremum metric on the space of fuzzy numbers. And then we propose a method for constructing a norm on the quotient space of fuzzy numbers.
Dong Qiu, Chongxia Lu, Wei Zhang
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Neutrosophic Approach on Normed Linear Space [PDF]
Neutrosophic Sets and Systems, 2019 This paper proposed the idea of Neutrosophic norm in a linear space. An attempt has been made to find some related results in Neutrosophic normed linear space and study the Cauchy sequence and completeness in this structure.
Prakasam Muralikrishna +1 more
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