Results 1 to 10 of about 1,438 (226)
Quotient algebraic structures on the set of fuzzy numbers [PDF]
Kybernetika, 2015 Summary: \textit{A. M. Bica} has constructed in [Soft Comput. 11, No. 11, 1099--1105 (2007; Zbl 1125.03039)] two isomorphic Abelian groups, defined on quotient sets of the set of those unimodal fuzzy numbers which have strictly monotone and continuous sides.
Dorina Fechete, Ioan Fechete
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Pawlak Algebra and Approximate Structure on Fuzzy Lattice [PDF]
The Scientific World Journal, 2014 The aim of this paper is to investigate the general approximation structure, weak approximation operators, and Pawlak algebra in the framework of fuzzy lattice, lattice topology, and auxiliary ordering. First, we prove that the weak approximation operator space forms a complete distributive lattice. Then we study the properties of transitive closure of
Ying Zhuang +3 more
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Lattices of (Generalized) Fuzzy Ideals in Double Boolean Algebras [PDF]
Transactions on Fuzzy Sets and Systems, 2023 This paper develops the notion of fuzzy ideal and generalized fuzzy ideal on double Boolean algebra (dBa). According to Rudolf Wille, a double Boolean algebra $\underline{D}:=(D, \sqcap, \sqcup, \neg, \lrcorner, \bot, \top)$ is an algebra
Fernand Kuiebove Pefireko
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Fuzzy graphs: algebraic structure and syntactic recognition [PDF]
Artificial Intelligence Review, 2013 Directed fuzzy hypergraphs are introduced as a generalization of both crisp directed hypergraphs and directed fuzzy graphs. It is proved that the set of all directed fuzzy hypergraphs can be structured into a magmoid with operations graph composition and disjoint union. In this framework a notion of syntactic recognition inside magmoids is defined. The
Antonios Kalampakas +3 more
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Fuzzy Soft Sets and Fuzzy Soft Lattices [PDF]
International Journal of Computational Intelligence Systems, 2012 The theory of soft sets was introduced by Molodtsov in 1999 in order to deal with uncertainties. In this paper, the notion of fuzzy soft lattice is defined and some related properties are derived, which extends the notion of a fuzzy lattice to include ...
Yingchao Shao, Keyun Qin
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Topological Structures Induced by General Fuzzy Automata Based on Lattice-ordered Monoid
پژوهشهای ریاضی, 2021 The fundamental role of algebraic properties in the development of the basics of computer science has led researchers to study the concepts of fuzzy automaton separatedness, connectedness, and reversibility on a large scale.In this paper, the general ...
khadijeh abolpour
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Intuitionistic fuzzy lattice ordered G-modules [PDF]
Journal of Fuzzy Extension and ApplicationsThe investigation of mathematics underlines accuracy, precision, and flawlessness, yet in numerous genuine circumstances, individuals face equivocalness, ambiguity, imprecision, and so forth.
Poonam Sharma
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Fuzziness on Hopf Algebraic Structures with Its Application
Journal of New Theory, 2021 The objective of writing this manuscript is to apply the concept of fuzzy set on some basic Hopf algebraic structures. In this manuscript, the novel concepts of fuzzy Hopf subalgebra, fuzzy Hopf ideal, and fuzzy H-submodule are proposed.
Munir Ahmed +2 more
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m-Polar Fuzzy B-ideal of B-algebra
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 B-algebra is an algebraic structure related to BCI/BCK-algebra. Many researchers have studied fuzzy B-ideal on B-algebra, m-polar fuzzy set on BCI-algebra and B-algebra, m-polar fuzzy subalgebra on BCI-algebra and B-algebra, m-polar fuzzy ideal on BCI ...
Dian Kartika Amandani +2 more
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Introduction to Plithogenic Hypersoft Subgroup [PDF]
Neutrosophic Sets and Systems, 2020 In this article, some essential aspects of plithogenic hypersoft algebraic structures have been analyzed. Here the notions of plithogenic hypersoft subgroups i.e. plithogenic fuzzy hypersoft subgroup, plithogenic intuitionistic fuzzy hypersoft subgroup,
Sudipta Gayen +5 more
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