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Artificial Intelligence Review

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18.04.2023

Some new product operations of T-spherical fuzzy graphs and an application of T-spherical fuzzy graphs in MCGDM

verfasst von: Faruk Karaaslan, Fatih Karamaz

Erschienen in: Artificial Intelligence Review | Ausgabe 11/2023

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Abstract

A T-spherical fuzzy (T-SF) graph (T-SFG) structure is a generalization of the spherical fuzzy graphs (SFGs) and other extensions of the fuzzy graphs (FGs). In this paper, we define the strong product, cross product, lexicographic product, modular product, and homomorphic product operations between two T-SFGs and investigate some of their properties. We give examples to make the defined operations more understandable. We also propose a multi-criteria group decision-making (MCGDM) method under the T-SF-environment. Besides, a numerical example is given to show the progress of the proposed method.

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Akram M (2021) Decision making method based on spherical fuzzy graphs. In: Kahraman C, Kutlu Gündoğdu F (eds) Decision making with spherical fuzzy sets. Studies in fuzziness and soft computing, vol 392. Springer, Cham

Akram M, Saleem D (2020) Spherical fuzzy graphs with application to decision-making. Math Comput Appl 25(8):1–32MathSciNet

Akram M, Sitara M (2022) Decision-making with q-rung orthopair fuzzy graph structures. Granul Comput 7:505–526CrossRef

Akram M, Ilyas F, Borumand SA (2019) Certain notions of pythagorean fuzzy Graphs. J Intell Fuzzy Syst 36:5857–5874CrossRef

Ali Z, Mahmood T, Yang MS (2020) Complex T-spherical fuzzy aggregation operators with application to multi-attribute decision making. Symmetry 12:1311CrossRef

Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96MathSciNetCrossRefMATH

Atanassov K, Gabriella P, Yager R, Atanassova V (2003) Intuitionistic fuzzy graph interpretations of multi-person multi-criteria decision making, pp 177–182

Borzooei RA, Rashmanlou H (2015) Ring sum in product intuitionistic fuzzy graphs. J Adv Res Pure Math 7(1):16–31MathSciNetCrossRef

Borzooei R, Rashmanlou H (2015) Degree of vertices in vague graphs. J Appl Math Inform 33:545–557MathSciNetCrossRefMATH

Chellamani P, Ajay D, Broumi S et al (2022) An approach to decision-making via picture fuzzy soft graphs. Granul Comput 7:527–548CrossRef

Cuong BC (2013) Picture fuzzy sets first results. Part 1, in Preprint of Seminar on neuro-fuzzy systems with applications. Institute of Mathematics, Hanoi

Garg H, Munir M, Ullah K, Mahmood T, Jan N (2018) Algorithm for T-spherical fuzzy multi-attribute decision making based on improved interactive aggregation operators. Symmetry 10(12):1–23CrossRef

Garg H, Ullah K, Mahmood T et al (2021) T-spherical fuzzy power aggregation operators and their applications in multi-attribute decision making. J Ambient Intell Human Comput 12:9067–9080CrossRef

Guleria A, Bajaj RK (2020) T-spherical fuzzy graphs: operations and applications in various selection processes. Arab J Sci Eng 45:2177–2193CrossRef

Guleria A, Bajaj R (2021) T-spherical fuzzy soft sets and its aggregation operators with application in decision-making. Scientia Iran 28(2):1014–1029

Gündoğdu FK, Kahraman C (2018) Spherical fuzzy sets and spherical fuzzy TOPSIS method. J Intell Fuzzy Syst 36:1–16

Habib A, Akram M, Farooq A (2019) q-Rung orthopair fuzzy competition graphs with application in the soil ecosystem. Mathematics 7:91CrossRef

Kaufmann A (1973) Introduction a la Theorie des Sour-Ensembles Flous. Paris, France, Masson et Cie

Koam AN, Akram M, Liu P (2020) Decision-making analysis based on fuzzy graph structures. Math Probl Eng 2020:30MathSciNetCrossRefMATH

Kruskal JB (1956) On the shortest spanning subtree of a graph and the traveling salesman problem. Proc Am Math Soc 7(1):48–50MathSciNetCrossRefMATH

Mahmood T, Ullah K, Khan Q, Jan N (2019) An approach toward decision-making and medical diagnosis problems using the concept of spherical fuzzy sets. Neural Comput Appl 31(11):7041–7053CrossRef

Mordeson JN, Peng CS (1994) Operations on fuzzy graphs. Inf Sci 79:159–170MathSciNetCrossRefMATH

Naz S, Ashraf S, Akram M (2018) A novel approach to decisionmaking with Pythagorean fuzzy information. Mathematics 6(6):1–28CrossRefMATH

Özlü Ş, Karaaslan F (2022) Correlation coefficient of T-spherical type-2 hesitant fuzzy sets and their applications in clustering analysis. J Ambient Intell Hum Comput 13:329–357CrossRef

Parvathi R, Karunambigai MG (2006) Intuitionistic fuzzy graphs. In: Reusch B (ed) Computational intelligence, theory and applications. Springer, Berlin, pp 139–150CrossRef

Prim RC (1957) Shortest connection networks and some generalizations. Bell Syst Tech J 36(6):1389–1401CrossRef

Rashmanlou H, Pal M (2013) Some properties of highly irregular interval valued fuzzy Graphs. World Appl Sci J 27:1756–1773

Rashmanlou H, Muhiuddin G, Amanathulla SK, Mofidnakhaei F, Pal M (2020) A study on cubic graphs with novel application. J Intell Fuzzy Syst 40:1–13

Rosenfeld A (1975) Fuzzy graphs. In: Zadeh LA, Fu KS, Shimura M (eds) Fuzzy sets and their applications. Academic Press, New York, pp 77–95

Shoaib M, Mahmood W, Xin Q, Tchier F (2021) Certain operations on picture fuzzy graph with application. Symmetry 13:2400CrossRef

Thilagavathi S, Parvathi R, Karunambigai MG (2009) Operations on intuitionistic fuzzy graphs. Int J Comput Appl 51:1396–1401

Yager RR (2013) Pythagorean fuzzy subsets. In: Proceedings of Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada, pp 57-61

Yager RR (2016) Generalized orthopair fuzzy sets. IEEE Trans Fuzzy Syst 25(5):1222–1230CrossRef

Yin S, Li H, Yang Y (2019) Product operations on q-rung orthopair fuzzy graphs. Symmetry 11:588CrossRef

Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353CrossRefMATH

Zedam L, Jan N, Rak E et al (2020) An approach towards decision-making and shortest path problems based on T-spherical fuzzy information. Int J Fuzzy Syst 22:1521–1534CrossRef

Zeng S, Shoaib M, Ali S, Smarandache F, Rashmanlou H, Mofidnakhaei F (2021) Certain properties of single-valued neutrosophic graph with application in food and agriculture organization. Int J Comput Intell Syst 14(1):1516CrossRef

Titel: Some new product operations of T-spherical fuzzy graphs and an application of T-spherical fuzzy graphs in MCGDM
verfasst von: Faruk Karaaslan
Fatih Karamaz
Publikationsdatum: 18.04.2023
Verlag: Springer Netherlands
Erschienen in: Artificial Intelligence Review / Ausgabe 11/2023
Print ISSN: 0269-2821
Elektronische ISSN: 1573-7462
DOI: https://doi.org/10.1007/s10462-023-10477-5

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