Results 11 to 20 of about 1,437 (234)

Oriented Fuzzy Numbers vs. Fuzzy Numbers

Mathematics, 2021
A formal model of an imprecise number can be given as, inter alia, a fuzzy number or oriented fuzzy numbers. Are they formally equivalent models? Our main goal is to seek formal differences between fuzzy numbers and oriented fuzzy numbers.
Krzysztof Piasecki, Anna Łyczkowska-Hanćkowiak   +1 more
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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
openaire   +2 more sources

G-fuzzy topologies on algebraic structures

Journal of Mathematical Analysis and Applications, 1985
AbstractConsidering complete Boolean algebras as sets of truth values the structure of a fuzzy topological group, fuzzy topological ring, etc., is specified. The probabilistic completion of ordinary topological algebraic structures shows the applicability of these concepts to the theory of stochastic processes, e.g., a new definition of the stochastic ...
Ulrich Höhle, Höhle, Ulrich
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Fuzzy Graph Hyperoperations and Path-Based Algebraic Structures

Mathematics
This paper introduces a framework of hypercompositional algebra on fuzzy graphs by defining and analyzing fuzzy path-based hyperoperations. Building on the notion of strongest strong paths (paths that are both strength-optimal and composed exclusively of
Antonios Kalampakas
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On algebraic structure of intuitionistic fuzzy soft sets

Computers & Mathematics with Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yunqiang Yin, Hongjie Li, Young Bae Jun
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Quantales for Fuzzy Sets and Relations of Higher Types

Mathematics
In this paper, we open up more possibilities to define higher types of fuzzy sets in a mixed way. In doing so, we show that there are essentially two alternative definitions for fuzzy sets of higher types, one of which is widely adopted in the literature,
Patrik Eklund, Jari Kortelainen, Magnus Löfstrand   +2 more
doaj   +2 more sources

SMARANDACHE SPECIAL DEFINITE ALGEBRAIC STRUCTURES [PDF]

, 2009
Introducing the notion of Smarandache special definite algebraic structures, also called equivalently as Smarandache definite special algebraic structures.
Vasantha, Kandasamy
core   +1 more source

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, Wenqi Liu, Chin-Chia Wu, Jinhai Li   +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
doaj   +1 more source

Smarandache BE-Algebras [PDF]

, 2013
A study of the notions of Smarandache n-structure CI-algebras and Smarandache weak BE-algebras. Smarandache algebraic structures have been studied in a series of eleven books by W. B.
Saeid, Arsham Borumand
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