Results 11 to 20 of about 197,025 (287)

(Fuzzy) Ideals of BN‐Algebras [PDF]

open access: yesThe Scientific World Journal, 2015
The notions of an ideal and a fuzzy ideal in BN‐algebras are introduced. The properties and characterizations of them are investigated. The concepts of normal ideals and normal congruences of a BN‐algebra are also studied, the properties of them are displayed, and a one‐to‐one correspondence between them is presented. Conditions for a fuzzy set to be a
Grzegorz Dymek, Andrzej Walendziak
openaire   +3 more sources

Ordered semigroups characterized by (ϵ ϵ vqk)-fuzzy generalized bi-ideals [PDF]

open access: yes, 2012
In this paper, we introduce a considerable machinery that permits us to characterize a number of special (fuzzy) subsets in ordered semigroups. In this regard, we generalize (Davvaz and Khan in Inform Sci 181:1759-1770 2011) and define (is an element of,
Khan, Asghar   +3 more
core   +1 more source

Bipolar Fuzzy Implicative Ideals of BCK-Algebras

open access: yesJournal of Mathematics, 2021
The notion of bipolar fuzzy implicative ideals of a BCK-algebra is introduced, and several properties are investigated. The relation between a bipolar fuzzy ideal and a bipolar fuzzy implicative ideal is studied.
G. Muhiuddin, D. Al-Kadi
doaj   +1 more source

A Novel Concept of Fuzzy Subsemigroup (Ideal)

open access: yesJournal of Mathematics, 2022
This paper focuses on a generalized definition of fuzzy subsemigroup (ideal) on semigroup. Let L be a completely distributive lattice; we introduce the definition of L-fuzzy ideal and also the novel concept of subsemigroup (ideal) on semigroup.
Yu-Hong Che, Qi Liu
doaj   +1 more source

Bi-ideals of ordered semigroups based on the interval-valued fuzzy point [PDF]

open access: yes, 2016
Interval-valued fuzzy set theory (advanced generalization of Zadeh’s fuzzy sets) is a more generalized theory that can deal with real world problems more precisely than ordinary fuzzy set theory.
Khan, Asghar   +3 more
core   +1 more source

New Properties of Anti Fuzzy Ideals of Regular Semigroups

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2019
In this article, we study some properties of anti-fuzzy sub-semigroup, anti fuzzy left (right, two sided) ideal, anti fuzzy ideal, anti fuzzy generalized bi-ideal, anti fuzzy interior ideals and anti fuzzy two sided ideal of regular semigroup.
Samah H. Asaad, Akram S. Mohammed
doaj   +1 more source

Fuzzy Prime Ideal Theorem in Residuated Lattices

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2021
This paper mainly focuses on building the fuzzy prime ideal theorem of residuated lattices. Firstly, we introduce the notion of fuzzy ideal generated by a fuzzy subset of a residuated lattice and we give a characterization.
Pierre Carole Kengne   +2 more
doaj   +1 more source

ℒ-Fuzzy Ideals of Residuated Lattices

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2019
This paper mainly focuses on building the ℒ-fuzzy ideals theory of residuated lattices. Firstly, we introduce the notion of ℒ-fuzzy ideals of a residuated lattice and obtain their properties and equivalent characterizations. Also, we introduce the notion
Kengne Pierre Carole   +3 more
doaj   +1 more source

Positive Implicative Ideals of BCK-Algebras Based on Intuitionistic Falling Shadows

open access: yesMathematics, 2018
The concepts of a positive implicative ( ∈ , ∈)-intuitionistic fuzzy ideal and a positive implicative falling intuitionistic fuzzy ideal are introduced, and several properties are investigated. Characterizations of a positive implicative
Young Bae Jun   +2 more
doaj   +1 more source

Interval-Valued Intuitionistic Fuzzy Topsis-Based Model For Troubleshooting Marine Diesel Engine Auxiliary System [PDF]

open access: yes, 2017
In this paper, we present an interval-valued Intuitionistic Fuzzy TOPSIS model, which is based on an improved score function for detecting failure in a marine diesel engine auxiliary system, using groups of experts’ opinions to detect the root cause of ...
Aikhuele, Daniel Osezua   +3 more
core   +1 more source

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