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Fuzzy sets and their operations, II
This paper investigates the algebraic properties of fuzzy sets under the new operations “drastic product≓ and “drastic sum≓ introduced by Dubois in 1979, and the algebraic properties in the case where these new operations are combined with the well-known operations for fuzzy sets. The properties of fuzzy relations are also shown under a new composition
Mizumoto, Masaharu, Tanaka, Kokichi
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Functional Partial Fuzzy Relations
We study fuzzy relations that satisfy the functionality property and that their membership functions can be partial functions. Such fuzzy relations are called partial fuzzy relations, and the variable-domain fuzzy set theory is a framework that provides ...
Martina Daňková
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Fundamentals of Picture Fuzzy Hypersoft Set with Application [PDF]
Theory of picture fuzzy soft set and generalized picture fuzzy soft sets(GPFSS) extended to picture fuzzy hypersoft sets (PFHSS) and generalized picture fuzzy hypersoft set (GPFHSS) respectively handle the uncertainties and multi-attribute values in the ...
Muhammad Saeed, Muhammad Imran Harl
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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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The neutrosophic cubic hesitant fuzzy set can efficiently handle the complex information in a decision-making problem because it combines the advantages of the neutrosophic cubic set and the hesitant fuzzy set.
Ateeq Ur Rehman +5 more
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Computer and fuzzy theory application: review in home appliances [PDF]
Clays have a tendency to this article first introduces the basic concepts of fuzzy theory, including comparisons between fuzzy sets and traditional explicit sets, fuzzy sets basic operations such as the membership function of the set and the colloquial ...
Tim Chen +3 more
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THE CONSTRUCTION OF SOFT SETS FROM FUZZY SUBSETS
Molodtsov introduced the concept of soft sets formed from fuzzy subsets in 1999. The soft set formed from a fuzzy subset is a particular form of a soft set on its parameter set. On a soft set formed from a fuzzy subset, the parameter used is the image of
Na'imah Hijriati +3 more
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Aczel–Alsina Hamy Mean Aggregation Operators in T-Spherical Fuzzy Multi-Criteria Decision-Making
A T-spherical fuzzy set is a more powerful mathematical tool to handle uncertain and vague information than several fuzzy sets, such as fuzzy set, intuitionistic fuzzy set, Pythagorean fuzzy set, q-rung orthopair fuzzy set, and picture fuzzy set.
Haolun Wang +4 more
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Recently, a great attention is paid toward developing aggregation operators for Pythagorean fuzzy set (PFS). However, few of them have adopted the rules of Archimedean t-conorm and t-norm (ATT) to aggregate the numbers.
Lei Wang, Harish Garg
semanticscholar +1 more source
General fuzzy min-max neural network for clustering and classification [PDF]
This paper describes a general fuzzy min-max (GFMM) neural network which is a generalization and extension of the fuzzy min-max clustering and classification algorithms of Simpson (1992, 1993).
Bargiela, Andrzej, Gabrys, Bogdan
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