Results 21 to 30 of about 4,097,752 (224)

Pawlak Algebra and Approximate Structure on Fuzzy Lattice [PDF]

open access: yesThe 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
openaire   +3 more sources

Fuzzy Soft Sets and Fuzzy Soft Lattices [PDF]

open access: yesInternational 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
doaj   +1 more source

Some algebraic structures of multi-fuzzy set [PDF]

open access: yes, 2021
The paper presents the concept of multi-fuzzy set and its operations. In addition some algebraic structures of multi-fuzzy set were introduced; in particular, the lattice structures, semigroups and groupoids of multi-fuzzy set were established.
Isah, A. I.
core  

Quotient algebraic structures on the set of fuzzy numbers [PDF]

open access: yesKybernetika, 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
openaire   +2 more sources

Topological Structures Induced by General Fuzzy Automata Based on Lattice-ordered Monoid

open access: yesپژوهش‌های 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
doaj  

Some geometrical methods for constructing contradiction measures on Atanassov's intuitionistic fuzzy sets [PDF]

open access: yes, 2011
Trillas et al. (1999, Soft computing, 3 (4), 197–199) and Trillas and Cubillo (1999, On non-contradictory input/output couples in Zadeh's CRI proceeding, 28–32) introduced the study of contradiction in the framework of fuzzy logic because of the ...
Torres Blanc, Carmen   +5 more
core   +1 more source

Intuitionistic fuzzy lattice ordered G-modules [PDF]

open access: yesJournal of Fuzzy Extension and Applications
The investigation of mathematics underlines accuracy, precision, and flawlessness, yet in numerous genuine circumstances, individuals face equivocalness, ambiguity, imprecision, and so forth.
Poonam Sharma
doaj   +1 more source

Neutrosophic UP (BCC)-Subalgebras of Several Types: A Threshold-Based Analysis in UP (BCC)-Algebras [PDF]

open access: yesNeutrosophic Sets and Systems
This study provides an extensive investigation into neutrosophic subalgebras within the context of BCC-algebras, establishing a new framework for their classification.
Aiyared Iampan, Neelamegarajan Rajesh
doaj   +1 more source

Fuzziness on Hopf Algebraic Structures with Its Application

open access: yesJournal 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
doaj   +1 more source

Some Innovative Types of Fuzzy Ideals in AG-Groupoids

open access: yesJournal of Intelligent Systems, 2019
AG-groupoids (non-associative structure) are basic structures in Flocks theory. This theory mainly focuses on distance optimization, motion replication, and leadership maintenance with a wide range of applications in physics and biology.
Khan Faiz Muhammad   +4 more
doaj   +1 more source

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