Graphs Of lattice implication algebras based on fuzzy filter and fuzzy LI-ideal

Publish Year:

1398

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مقاله کنفرانسی

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English

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شناسه ملی سند علمی:

FMCBC01_014

تاریخ نمایه سازی: 19 اسفند 1398

Abstract:

In this paper, first the notions of fuzzy filter and fuzzy LI- ideal in a lattice implication algebra (??,˅,˄,´,→,0,??) are defined. Then by means of congruence classes ≡???? and ≡???? on a lattice implication algebra (??,˅,˄,´,→,0,??) which induced by fuzzy filter and fuzzy LI-ideal, respectively, four types of graphs of lattice implication algebra (??,˅,˄,´,→,0,??), denoted by ??????(??),??????(??),??????(??) and ??????(??), respectively, are defined, some their interesting properties such as connectivity, chordality, planarity are presented.

Authors

AtenaTahmasbpour Meikola
Atena Tahmasbpour Meikola

Department of Mathematics . Islamic Azad University, Central Tehran Branch, Iran