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Fuzzy ideal graphs of a semigroup

Marapureddy Murali Krishna Rao
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2018.12|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제16권 제3호|pp. 363-371|DOI 10.30948/afmi.2018.16.3.363

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참고문헌

키워드

GraphSemigroupFuzzy graphFuzzy idealFuzzy semigroupIsomorphism of fuzzy graphs of semigroupsRegular fuzzy graph of semigroupFuzzy ideal graph

초록

The main objective of this paper is to connect fuzzy theory, graph theory and fuzzy graph theory with algebraic structure. We introduce the notion of fuzzy graph of semigroup, the notion of fuzzy ideal graph of semigroup as a generalization of fuzzy ideal of semigroup, intuitionistic fuzzy ideal of semigroup, fuzzy graph and graph, the notion of isomorphism of fuzzy graphs of semigroups and regular fuzzy graph of semigroup and we study some of their properties.

Abstract

The main objective of this paper is to connect fuzzy theory, graph theory and fuzzy graph theory with algebraic structure. We introduce the notion of fuzzy graph of semigroup, the notion of fuzzy ideal graph of semigroup as a generalization of fuzzy ideal of semigroup, intuitionistic fuzzy ideal of semigroup, fuzzy graph and graph, the notion of isomorphism of fuzzy graphs of semigroups and regular fuzzy graph of semigroup and we study some of their properties.

참고문헌 (25)

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관련 논문AI추천

Quasi-interior ideals and fuzzy quasi-interior ideals of semigroupsMarapureddy Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제19권 제2호Intuitionistic fuzzy subsemigroups and subgroups associated by intuitionistic fuzzy graphs전영배대한수학회 · 대한수학회논문집2006 · 제21권 제3호Fuzzy subsemigroups and fuzzy ideals with operators in semigroupsHee Sik Kim, Kul Hur, Young Bae Jun기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2011 · 제1권 제1호FUZZY IDEALS GENERATED BY FUZZY SUBSETS IN SEMIGROUPS전인흥대한수학회 · 대한수학회논문집2012 · 제27권 제3호On interval valued fuzzy quasi-ideals of semigroupsN. Thillaigovindan, V. Chinnadurai영남수학회 · East Asian Mathematical Journal2009 · 제25권 제4호Characterization of regular semigroup by (∈, ∈∨(k*, q_k))-fuzzy idealsKhaista Rahman, Muhammad Sajjad Ali Khan, Saleem Abdullah, Syed Zaheer Abbas기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제3호

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