Interval-valued Pythagorean Fuzzy Graph

Sarwat, Mohamed; Ali, A. Mohamed

doi:10.29055/jcms/893

Cited by 6 publications

(3 citation statements)

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“…Akram et al [31] presented certain types of interval-valued fuzzy graphs. Mohamed and Ali [32][33][34] developed some products on interval-valued Pythagorean fuzzy graphs and defined strong interval-valued Pythagorean fuzzy graphs. Rashid et al [35] put forward the idea of graphical structure of cubic sets and discuss some operations on them.…”

Section: Introductionmentioning

confidence: 99%

Cubic Pythagorean Fuzzy Graphs

Muhiuddin

Hameed

Maryam

et al. 2022

Journal of Mathematics

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The purpose of the study is to explore graph theory based on cubic Pythagorean fuzzy sets. The concept of cubic Pythagorean fuzzy graphs (CuPFGs) is introduced in this research work. In addition, we define certain fundamental operations on CuPFGs including semistrong product, lexicographical product, and symmetric difference of two CuPFGs and demonstrate some of their key characteristics. Meanwhile, to investigate the preference of decision makers, cubic Pythagorean fuzzy preference relation is defined. Moreover, through a practical example, the applicability of our proposed work in multicriteria decision-making is described, and to clarify the organization of the proposed method, a frame diagram is presented.

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Section: Introductionmentioning

confidence: 99%

Cubic Pythagorean Fuzzy Graphs

Muhiuddin

Hameed

Maryam

et al. 2022

Journal of Mathematics

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“…In 2011, Akram [2] introduced bipolar fuzzy graphs using bipolar fuzzy relation. Some recent works on fuzzy graphs can be referred in [1,[3][4][5][6][7][8][9][10][11]. In this paper, the notion of cycle connectivity of bipolar fuzzy graphs is introduced.…”

Section: Introductionmentioning

confidence: 99%

Strength of Strong Cycle Connectivity in Bipolar Fuzzy Graphs

Sarwat¹,

Subashini²

2020

Adv. Math., Sci. J.

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“…Yahya Mohamed and Mohamed Ali [6,7,8] introduced the max-product and modular product on intuitionistic fuzzy graphs and they defined the complement of modular product of two intuitionistic fuzzy graph. Some recent works in intuitionistic fuzzy graph and interval-valued Pythagorean fuzzy graph can be found in [9,10,11,12]. In this paper, we have studied the degree of vertex in intuitionistic fuzzy graph by the max-product of two given intuitionistic fuzzy graph.…”

Section: Introductionmentioning

confidence: 99%

Degree of a Vertex in Max-Product of Intuitionistic Fuzzy Graph

Mohamed*,

Ali*

2019

IJRTE

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Graph theory has applications in many areas of computer science, including data mining, image segmentation, clustering and networking. Product on graphs has a wide range of application in networking system, automata theory, game theory and structural mechanics. In many cases, some aspects of a graph-theoretic problem may be uncertain. Intuitionistic fuzzy models provide more compatible to the system compared to the fuzzy models. An intuitionistic fuzzy graph can be derived from two given intuitionistic fuzzy graphs using max-product. In this paper, we studied the degree of vertex in intuitionistic fuzzy graph by the max-product of two given intuitionistic fuzzy graph. Also find the necessary and sufficient condition for max-product of two intuitionistic fuzzy graphs to be regular.

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Interval-valued Pythagorean Fuzzy Graph

Cited by 6 publications

References 0 publications

Cubic Pythagorean Fuzzy Graphs

Cubic Pythagorean Fuzzy Graphs

Strength of Strong Cycle Connectivity in Bipolar Fuzzy Graphs

Degree of a Vertex in Max-Product of Intuitionistic Fuzzy Graph

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