Energy of spherical fuzzy graphs

Sarwat, Mohamed; Ali, A. Mohamed

doi:10.37418/amsj.9.1.26

Cited by 3 publications

(1 citation statement)

References 6 publications

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“…developed the idea of fuzzy graphs (FGs). Later, (Rosenfeld, 1975) defined the basic properties of fuzzy relations which are generalized with fuzzy set as a base set and fuzzy analogues of graphic theoretical concepts like bridges and trees were established with their properties and further fuzzy graph concepts were developed and applied in the real life situations in (Mohamed et al, 2020;Mordeson & Chang-Shyh, 1994;Naz et al, 2017Quek, et al, 2018 ;Smarandache, 2013 ;Tan et al, 2021 ;Das et al, 2021 ;Majumder et al, 2021;Saha et al, 2022). Recent developments of the fuzzy extensions are developed as in (Kumar et al, 2019 ;Radha et al,2021 ;Vellapandi & Gunasekaran, 2020 ;Das & Edalatpanah, 2020 ;Polymenis, 2021;Mao et al, 2020 ;Voskoglou & Broumi, 2022 ;Zhang et al, 2022 ;Al-Hamido, 2022).…”

Section: Introductionmentioning

confidence: 99%

Interval Valued Pentapartitioned Neutrosophic Graphs with an Application to MCDM

Broumi

Ajay

Chellamani

et al. 2022

Oper. Res. Eng. Sci. Theor. Appl.

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The concept of interval valued pentapartitioned neutrosophic set is the extension of interval-valued neutrosophic set, quadripartitioned neutrosophic set, interval valued quadripartitioned neutrosophic set and pentapartitioned neutrosophic set. The powerful mathematical tool known as the interval valued pentapartitioned neutrosophic set divides indeterminacy into three separate components: unknown, contradiction, and ignorance. There are several applications for graph theory in everyday life, and it is a rapidly growing topic. The concept of an interval valued pentapartitioned neutrosophic set is used in graph theory. A decision-making method multicriteria (MCDM) is proposed by using the developed Interval valued Pentapartitioned Neutrosophic set with a numerical illustration. In this paper, as an extension of interval valued neutrosophic graph theory, we introduce the notions of Interval-Valued Pentapartitioned Neutrosophic Graph (IVPPN-graph) with degree, size, and order of an IVPPN-graph.

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Section: Introductionmentioning

confidence: 99%

Interval Valued Pentapartitioned Neutrosophic Graphs with an Application to MCDM

Broumi

Ajay

Chellamani

et al. 2022

Oper. Res. Eng. Sci. Theor. Appl.

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New concepts of pentapartitioned neutrosophic graphs and applications for determining safest paths and towns in response to COVID-19

et al. 2022

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A cosine similarity measures between hesitancy fuzzy graphs and its application to decision making

N¹,

2023

MATH

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<abstract><p>A new cosine similarity measure between hesitancy fuzzy graphs, which have been shown to have greater discriminating capacity than certain current ones in group decision making problems by example verification. This study proposes a novel method for estimating expert-certified repute scores by determining the ambiguous information of hesitancy fuzzy preference relations as well as the regular cosine similarity grades from one separable hesitancy fuzzy preference relation to some others. The new approach considers both "objective" and "subjective" information given by experts. We construct working procedures for assessing the eligible reputational scores of the experts by applying hesitancy fuzzy preference relations. In an evaluation in which multiple conflicting factors are taken into consideration, this can be applied to increase or reduce the relevancy of specified criteria. Applying the two effective methods, the newly developed cosine similarity measure, the energy of hesitancy fuzzy graph, and we provide a solution to a decisional issue. Finally, the two working procedures and examples are given to verify the practicality and dominance of the proposed techniques.</p></abstract>

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Energy of spherical fuzzy graphs

Cited by 3 publications

References 6 publications

Interval Valued Pentapartitioned Neutrosophic Graphs with an Application to MCDM

Interval Valued Pentapartitioned Neutrosophic Graphs with an Application to MCDM

New concepts of pentapartitioned neutrosophic graphs and applications for determining safest paths and towns in response to COVID-19

A cosine similarity measures between hesitancy fuzzy graphs and its application to decision making

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