Results 201 to 210 of about 1,437 (234)

FUZZY STRUCTURES ON HYPERK-ALGEBRAS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2002
In this note first we define the notions of fuzzy hyperK-subalgebra and fuzzy (weak) hyperK-ideal of a hyperK-algebra. Then we state and prove some equivalent conditions for these notions. In particular we conclude that any fuzzy hyperK-ideal is weak but the converse is not correct in general. After that under a suitable condition we show that a fuzzy
Rajab Ali Borzooei, Mohammad Mehdi Zahedi   +1 more
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Classifying through a fuzzy algebraic structure

Fuzzy Sets and Systems, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio Gisolfi, Ferdinando Cicalese
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Algebraic and topological structures on factorizations of fuzzy sets

Journal of Intelligent & Fuzzy Systems, 2016
In this paper, we introduce the notion of factorizations of fuzzy sets in complete residuated lattices. Moreover, we investigate fuzzy partially orders, the upper and lower approximation operators and Alexander (fuzzy) topologies on factorizations of fuzzy sets and give their examples.
Jung Mi Ko, Yong Chan Kim
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Algebraic Structure of Fuzzy Soft Sets

2014
This paper is devoted to the discussion of algebraic structures of fuzzy soft sets. The fuzzy notion of soft equality relation on fuzzy soft sets is proposed and several related properties are investigated. Furthermore, MTL structures of fuzzy soft algebra and complex sample for affiliations and the mapping to the fuzzy soft quotient algebra are ...
Zhiyong Hong, Keyun Qin
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Lattice structure on some fuzzy algebraic systems

Soft Computing, 2007
The lattice structure (distributive or modular) of the set of all ideals of some ordered algebras is studied. Investigation includes fuzzy (G-)subgroups of a (G-)group, weak normal F-subpolygroups of an F-polygroup, fuzzy hyperideals, and fuzzy ideals of a BCK-algebras.
Rajab Ali Borzooei, Mahmood Bakhshi, Mashaallah Mashinchi   +2 more
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On the algebraic structure of linear, relevance, and fuzzy logics

Archive for Mathematical Logic, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy mappings and algebraic structures

Fuzzy Sets and Systems, 1978
Abstract Kauffman's fuzzy morphisms are considered. The concept of structure preserving fuzzy morphisms is defined and their properties are described by means of compatible tolerance relations and related mappings.
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Algebraic Structures of Fuzzy Implications

2008
As noted in Sect. 1.1, in the family \({\mathcal FI}\) of all fuzzy implications we can consider the partial order induced from the unit interval [0, 1]. It is interesting and important to note that incomparable pairs of fuzzy implications generate new fuzzy implications by using the standard min (inf) and max (sup) operations.
Michał Baczyński, Balasubramaniam Jayaram   +1 more
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Topological and Algebraic Structures in Fuzzy Sets

Trends in Logic, 2003
exaly   +2 more sources

New approaches on some fuzzy algebraic structures

Journal of Intelligent & Fuzzy Systems, 2017
Starting from the study of the papers [ 1 , 14 ], we have seen that we can change some concepts and give some new definitions on fuzzy algebraic structures.
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