Fuzzy Dominating Number Based On Fuzzy Bridge And Applicaions

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HAMIDI MOHAMMAD; Nikfar Mohammad Esmael

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Journal Paper

Paper Information

Journal: FUZZY SYSTEMS AND APPLICATION Year:2022 | Volume:4 | Issue:2 Page(s): 205-229

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Information Journal Paper

Title

Fuzzy Dominating Number Based On Fuzzy Bridge And Applicaions

Author(s)

HAMIDI MOHAMMAD | Nikfar Mohammad Esmael

Keywords

Fuzzy bridge

fuzzy domination number

st rong 2-wh eel fuzzy graph

2-complet e fuzzy graph

Abstract

The purpose of this paper is to appl y of concept of Fuzzy bridge and to ex tend of notation of fuzzy domination number in fuzzy graph. F uzzy bridge introduces a new notation of fuzzy domination sets and fuzzy domination numbers such that is consedering for fuzzy graphs with cyclics and vertices are l ocated on cyclics. To check the importance of fuzzy domination numbers based on Fuzzy bridge, we compare it to other distinct fuzzy domination numbers and show that fuzzy domination numbers based on Fuzzy bridge is optimal. The main method, in this research is based on computations of fuzzy domination number of complete fuzzy graphs with distinct fuzzy vertices and is worked on spec ial and useful fuzzy graphs such as st rong 2-wh eel fuzzy graph and 2-complet e fuzzy graph. The study on 2-wh eel fuzzy graph and 2-complet e fuzzy graph was given for the first time in this paper and are worked via the generalize of 2-part of wh eel fuzzy graph and complet e fuzzy graph which these special fuzzy graphs have many applications on complex networks. In this study, computations of fuzzy domination number of special fuzzy graphs are done based on Fuzzy bridge with distinct vertices. The paper includes implications for the development of fuzzy graph, and for modeling the uncertainty problems and applicaions in real world which we consider t wo modes of real problems.

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APA: Copy

HAMIDI, MOHAMMAD, & Nikfar, Mohammad Esmael. (2022). Fuzzy Dominating Number Based On Fuzzy Bridge And Applicaions. FUZZY SYSTEMS AND APPLICATION, 4(2 ), 205-229. SID. https://sid.ir/paper/1040839/en

Vancouver: Copy

HAMIDI MOHAMMAD, Nikfar Mohammad Esmael. Fuzzy Dominating Number Based On Fuzzy Bridge And Applicaions. FUZZY SYSTEMS AND APPLICATION[Internet]. 2022;4(2 ):205-229. Available from: https://sid.ir/paper/1040839/en

IEEE: Copy

MOHAMMAD HAMIDI, and Mohammad Esmael Nikfar, “Fuzzy Dominating Number Based On Fuzzy Bridge And Applicaions,” FUZZY SYSTEMS AND APPLICATION, vol. 4, no. 2 , pp. 205–229, 2022, [Online]. Available: https://sid.ir/paper/1040839/en

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