Fuzzy subgroups on direct product of groups over a $t$-norm

Rasuli, Rasul

doi:10.5899/2017/jfsva-00339

Cited by 14 publications

(6 citation statements)

References 7 publications

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“…The triangular conorm (t-conorm) originated from the studies of probabilistic metric spaces [5,28] in which triangular inequalities were extended using the theory of t-conorm. The author by using norms, investigated some properties of fuzzy algebraic structures [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26]. In Section 2, some preliminary definitions and results regarding multisets have been introduced.…”

Section: Introductionmentioning

confidence: 99%

Anti Q-fuzzy Subgroups under t-conorms

Rasuli

2020

EJMS

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In this paper we introduce the notion of anti Q-fuzzy subgroups of G with respect to t-conorm C and study their important properties. Next we define the union, normal and direct product of two anti Q-fuzzy subgroups of G with respect to t-conorm C and we show that the union, normal and direct product of them is again an anti Q-fuzzy subgroup of G with respect to t-conorm C. It is also shown that the homomorphic image and pre image of anti Q-fuzzy subgroup of G with respect to t-conorm C is again an anti Q-fuzzy subgroup of G with respect to t-conorm C. See [3]). Let G be a group. Let H be a non-empty subset of G. Then the following are equivalent: Proposition 2.3 (Anti Q-fuzzy Subgroups under t-conorms Earthline

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Section: Introductionmentioning

confidence: 99%

Anti Q-fuzzy Subgroups under t-conorms

Rasuli

2020

EJMS

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“…In mathematics, an equivalence relation is a binary relation that is 3 t-conorms may of course frequently occur in further disciplines of mathematics, since the class contains many familiar functions. The author by using norms, investigated some properties of fuzzy algebraic structures [8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27]. The purpose of this paper is to deal with the anti fuzzy congruence and equivalence relation on rings with respect to t-conorms, homomorphisms and isomorphisms of them.…”

Section: Introductionmentioning

confidence: 99%

Anti Fuzzy Equivalence Relation on Rings with Respect to t-conorm C

Rasuli

2019

EJMS

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In this paper, by using t-conorms, we define the concept of anti fuzzy equivalence relation and anti fuzzy congruence relation on ring R and we investigate some of their basic properties. Also we define fuzzy ideals of ring R under t-conorms and compare this with fuzzy equivalence relation and fuzzy congruence relation on ring R such that we define new introduced ring. Next we investigate this concept under homomorphism of new introduced ring.

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“…The name triangular norm refers to the fact that in the framework of probabilistic metric spaces t-norms are used to generalize triangle inequality of ordinary metric spaces. The author by using norms, investigated some properties of fuzzy submodules, fuzzy subrings, fuzzy ideals of subtraction semigroups, intuitionistic fuzzy subrings and ideals of a ring, fuzzy Lie algebra, fuzzy subgroups on direct product of groups, characterizations of intuitionistic fuzzy subsemirings of semirings and their homomorphisms, characterization of Q-fuzzy subrings (anti Q-fuzzy subrings) and fuzzy submodules of R × M ( [17,18,19,20,21,22,23,24,25,26]).…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Sub-vector Spaces and Sub-bivector Spaces under t-Norms

Rasuli¹

2018

(GLM)

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In this paper we introduce and investigate some properties of fuzzy sub-vector spaces and fuzzy sub-bivector spaces by using t-norms and consider some of their properties and structured characteristics. Also we define some concepts as intersection, sum and linear transformations for fuzzy sub-vector spaces by using t-norms and obtain some results and we establish some of their properties about them and give several examples to illustrate the obtained results.

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Fuzzy subgroups on direct product of groups over a $t$-norm

Cited by 14 publications

References 7 publications

Anti Q-fuzzy Subgroups under t-conorms

Anti Q-fuzzy Subgroups under t-conorms

Anti Fuzzy Equivalence Relation on Rings with Respect to t-conorm C

Fuzzy Sub-vector Spaces and Sub-bivector Spaces under t-Norms

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