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Journal of Applied Mathematics and Computing

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28-07-2020 | Original Research

A study on generalized graphs representations of complex neutrosophic information

Authors: Saba Siddique, Uzma Ahmad, Muhammad Akram

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2021

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Abstract

A complex neutrosophic set is a useful model to properly handle incomplete information of periodic nature. This is characterized by three complex-valued components: truth, indeterminacy and falsity membership functions, whose range is extended from [0, 1] to unit circle in the complex plane. In this article, we define the notion of generalized complex neutrosophic graphs of type 1 and discuss certain of their properties, including regularity and completeness. Further, we describe these properties by several examples and present some of their interesting results. Moreover, we define the score function and accuracy function of complex neutrosophic sets. We describe decision making analysis based on generalized complex neutrosophic graphs of type 1. Finally, we highlight the significance of our proposed model by comparative analysis with the already existing models.

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Akram, M.: Single-Valued Neutrosophic Graphs. Infosys Science Foundation Series in Mathematical Sciences. Springer, New York (2018). https://doi.org/10.1007/978-981-13-3522-8CrossRef

Akram, M., Shahzadi, S.: Neutrosophic soft graphs with applicatioon. J. Intell. Fuzzy Syst. 32(1), 841–858 (2017)CrossRef

Akram, M., Saba, S.: Certain single-valued neutrosophic graphs. J. Fuzzy Math. 26(3), 593–614 (2017)

Akram, M., Saba, S., Bijan, D.: New concepts in neutrosophic graphs with application. J. Appl. Math. Comput. 57(12), 279–302 (2018)MathSciNetCrossRef

Akram, M., Sattar, A.: Competition graphs under complex Pythagorean fuzzy information. J. Appl. Math. Comput. 63, 543–583 (2020)MathSciNetCrossRef

Akram, M., Naz, S.: A novel decision-making approach under complex Pythagorean fuzzy environment. Math. Comput. Appl. 24(3), 73 (2019)MathSciNet

Akram, M., Bashir, A., Samanta, S.: Complex pythagorean fuzzy planar graphs. J. Appl. Math. Comput. (2020). https://doi.org/10.1007/s40819-020-00817-2CrossRefMATH

Alkouri, A.M., Salleh, A.R.: Complex intuitionistic fuzzy sets. AIP Conf. Proc. 14, 464–470 (2012)CrossRef

Alkouri, A.M., Salleh, A.R.: Complex Atanassove’s intuitionistic fuzzy relation. Abstr. Appl. Anal. 2013, Article ID 287382 (2013). https://doi.org/10.1155/2013/287382.

10.

Ali, M., Samarandache, F.: Complex neutrosophic set. Neural Comput. Appl. 28(7), 1817–1834 (2017). https://doi.org/10.1007/s00521-015-2154-yCrossRef

11.

Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87–96 (1986)CrossRef

12.

Broumi, S., Talea, M., Bakali, A., Smarandache, F.: Interval Valued Neutrosophic Soft Graphs. New Trends in Neutrosophic Theory and Applications 1. Pons Editions Brussels, Belgium (2018)

13.

Broumi, S., Bakali, A., Talea, M., Smarandache, F.: Complex neutrosophic graphs of type 1. In: Proceedings of 2017 IEEE International Conference on Innovations in Intelligent Systems and Applications (INISTA). Gdynia Maritime University, Gdynia, Poland, pp. 432–437 (2017)

14.

Bhattacharya, P.: Some remarks on fuzzy graphs. Pattern Recognit. Lett. 6, 297–302 (1987)CrossRef

15.

Faruk, K., Bijan, D.: Properties of single-valued neutrosophic graphs. J. Intell. Fuzzy Syst. 34(1), 57–79 (2018)CrossRef

16.

Kaufmann, A.: Introduction a la Thiorie des Sous-Ensemble Flous. Masson et Cie 1 (1973)

17.

Luqman, A., Akram, M., Al-Kenani, A.N., Alcantud, J.C.R.: A study on hypergraph representations of complex fuzzy information. Symmetry 11(11), 1381 (2019)CrossRef

18.

Mordeson, J.N., Nair, P.S.: Fuzzy Graphs and Fuzzy Hypergraphs. Physica Verlag, Heidelberg (2001)MATH

19.

Parvathi, R., Karunambigai, M.G.: Intuitionistic fuzzy graphs. In: Reusch, B. (ed.) Computational Intelligence, Theory and Applications. Springer, Berlin (2006)

20.

Ramot, D., Milo, R., Friedman, M., Kandel, A.: Complex fuzzy sets. IEEE Trans. Fuzzy Syst. 10(2), 171–186 (2002)CrossRef

21.

Ramot, D., Friedman, M., Langholz, G., Kandel, A.: Complex fuzzy logic. IEEE Trans. Fuzzy Syst. 11(4), 450–461 (2003)CrossRef

22.

Rosenfeld, A.: Fuzzy Graphs, Fuzzy Sets and Their Applications, pp. 77–95. Academic Press, New York (1975)

23.

Samanta, S., Sarkar, B.: A study on generalized fuzzy graphs. J. Intell. Fuzzy Syst. 35(3), 3405–3412 (2018)CrossRef

24.

Samanta, S., Sarkar, B., Shin, D., Pal, M.: Completeness and regularity of generalized fuzzy graphs. Springerplus 5(1), 1979–1990 (2016)CrossRef

25.

Smarandache, F.: A Unifying Field in Logics: Neutrosophic Logic. American Research Press, Rehoboth (1995)MATH

26.

Smarandache, F.: Neutrosophic set—a generalization of the intuitionistic fuzzy set. In: Granular Computing 2006 IEEE International Conference, pp. 38–42 (2006). https://doi.org/10.1109/GRC.2006.1635754

27.

Thirunavukarasu, P., Suresh, R., Viswanathan, K.K.: Energy of a complex fuzzy graph. Int. J. Math. Sci. Eng. Appl. 10, 243–248 (2016)

28.

Wang, H., Smarandache, F., Zhang, Y.Q., Sunderraman, R.: Single-valued neutrosophic sets. Multispace Multistruct. 4, 410–413 (2010)MATH

29.

Yaqoob, N., Gulistan, M., Kadry, S., Wahab, H.: Complex intuitionistic fuzzy graphs with application in cellular network provider companies. Mathematics 7, 35 (2019)CrossRef

30.

Yaqoob, N., Akram, M.: Complex neutrosophic graphs. Bull. Comput. Appl. Math. 6, 85–109 (2018)

31.

Yazdanbakhsh, O., Dick, S.: A systematic review of complex fuzzy sets and logic. Fuzzy Sets Syst. 338, 1–22 (2018)MathSciNetCrossRef

32.

Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)CrossRef

33.

Zhan, J., Masood, H., Akram, M.: Novel decision-making algorithms based on intuitionistic fuzzy rough environment. Int. J. Mach. Learn. Cybernet. 10(6), 1459–1485 (2019)CrossRef

34.

Zhan, J., Akram, M., Sitara, M.: Novel decision-making method based on bipolar neutrosophic information. Soft. Comput. 23(20), 9955–9977 (2019)CrossRef

Title: A study on generalized graphs representations of complex neutrosophic information
Authors: Saba Siddique
Uzma Ahmad
Muhammad Akram
Publication date: 28-07-2020
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2021
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-020-01400-0

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