Results 11 to 20 of about 39 (39)

Extension of n‐dimensional Euclidean vector space En over ℝ to pseudo‐fuzzy vector space over Fp1(1)

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 37, Page 2349-2373, 2003., 2003
For any two points P = (p(1), p(2), …, p(n)) and Q = (q(1), q(2), …, q(n)) of ℝn, we define the crisp vector PQ⟶=(q(1)−p(1),q(2)−p(2),…,q(n)−p(n))=Q(−)P. Then we obtain an n‐dimensional vector space En={PQ⟶| for all P,Q∈ℝn}. Further, we extend the crisp vector into the fuzzy vector on fuzzy sets of ℝn.
Kweimei Wu
wiley   +1 more source

Fermatean fuzzy semi-prime ideals of ordered semigroups

open access: yesTopological Algebra and its Applications, 2023
Fermatean fuzzy sets (FFSs) are invented to resolve the underlying limitations of intuitionistic fuzzy sets and Pythagorean fuzzy sets. The major goal of this study is to introduce Fermatean fuzzy semi-prime ideals of ordered semigroups.
Adak Amal Kumar   +2 more
doaj   +1 more source

Fuzzy structures of PI(≪,⫅,⫅)BCK‐ideals in hyper BCK‐algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 9, Page 549-556, 2003., 2003
The fuzzification of PI(≪,⫅,⫅)BCK‐ideals is considered. Using the notion of α‐cut, characterization of fuzzy PI(≪, ⫅, ⫅) BCK‐ideals is given. Conditions for a fuzzy set to be a fuzzy PI(≪, ⫅, ⫅) BCK‐ideal are provided.
Young Bae Jun, Wook Hwan Shim
wiley   +1 more source

Isomorphisms in EQ-Algebras

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2020
In this paper we investigate some isomorphism theorems in EQ-algebras. After establishing some basic results we give the Fundamental Homomorphism Theorem and by using it we state and prove some other isomorphism theorems.
Bakhshi M., Khavari M.R., Nazifi M.
doaj   +1 more source

On  , qk  -intuitionistic (fuzzy ideals, fuzzy soft ideals) of subtraction algebras [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2015
The intent of this article is to study the concept of an  ,  k   q -intuitionistic fuzzy ideal and    , qk  -intuitionistic fuzzy soft ideal of subtraction algebras and to introduce some related properties.
Madad Khan   +4 more
doaj  

Weak-hyperlattices derived from fuzzy congruences

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2017
In this paper we explore the connections between fuzzy congruence relations, fuzzy ideals and homomorphisms of hyperlattices. Indeed, we introduce the concept of fuzzy quotient set of hyperlattices as it was done in the case of rings [19].
Koguep Blériot Blaise Njionou   +1 more
doaj   +1 more source

L-fuzzy ideals and L-fuzzy subalgebras of Novikov algebras

open access: yesOpen Mathematics, 2019
In this paper, we apply the concept of fuzzy sets to Novikov algebras, and introduce the concepts of L-fuzzy ideals and L-fuzzy subalgebras. We get a sufficient and neccessary condition such that an L-fuzzy subspace is an L-fuzzy ideal. Moreover, we show
Zhou Xin, Chen Liangyun, Chang Yuan
doaj   +1 more source

Intuitionistic fuzzy interior ideal of semigroup based on intuitionistic fuzzy point [PDF]

open access: yesMatrix Science Mathematic, 2017
The intuitionistic fuzzification of the notion of an interior ideal in ordered semigroups is considered. The purpose of this study is to introduce the notion of (∈, ∈ vq)-intuitionistic fuzzy interior ideals and (∈, ∈)-intuitionistic fuzzy nterior ideals
Hidayat Ullah Khan   +4 more
doaj   +1 more source

On Properties of t-Fuzzy Modules and Uniform t-Fuzzy Modules

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2019
In this paper, we extend the idea of fuzzy modules and uniform fuzzy modules to the concepts of t-fuzzy modules and uniform t-fuzzy modules, respectively. We give some characterizations and properties of t-fuzzy modules and uniform t-fuzzy modules.
Baupradist Samruam, Chemat Burhan
doaj   +1 more source

Gődel filters in residuated lattices

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this paper, in the spirit of [4], we study a new type of filters in residuated lattices : Gődel filters. So, we characterize the filters for which the quotient algebra that is constructed via these filters is a Gődel algebra and we establish the ...
Piciu Dana   +2 more
doaj   +1 more source

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