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Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

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Open Access Research Article

The bijective soft semigroups and fuzzy parameterized bijective soft sets

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pp. 1729–1741Vol. 27Issue 6September 2024DOI: 10.47974/JDMSC-1641 Crossmark XML
Received:
06 Oct 2021
Published Online:
16 Sep 2024
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-1641
Pages:
1729–1741

Abstract

In this paper, bijective soft semigroups over semigroups are introduced. We give some properties of bijective soft semigroups over semigroups with supporting examples. Moreover, we defined fuzzy parameterized bijective soft sets over a universe and present an algorithm for solving some decision-making problem based on fuzzy parameterized bijective soft sets over a universe.

Keywords

Subject Classifications

(2010) 03E7262C86

References

[1] Zadeh, L.A.,1965. Fuzzy sets, Information and Control, 8, pp. 338-353.
[2] Pawlak, Z., 1982. Rough sets. International Journal of Information Technology and Computer Sciences, 11, pp. 341-356.
[3] Atanassov, K., 1986. Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, pp. 87-96.
[4] Molodtsov, D., 1999. Soft set theory-First results. Computer and Mathematics with Applications, 37, pp. 19-31.
[5] Maji, P.K., Biswas, R. and Roy, A.R., 2003. Soft set theory. Computer and Mathematics with Applications, 45, pp. 555-562.
[6] Maji, P.K., Biswas, R. and Roy, A.R., 2002. An application of soft sets in a decision making problem. Computer and Mathematics with Applications, 44, pp. 1077-1083.
[7]  Cağman, N. and Enginoglu, S., 2010. Soft set theory and uni-int decision making, European Journal of Operational Research, 207(2), pp. 848-855.
[8]  Cağman N. and Enginoğlu, S., 2010. Soft matrix theory and its decision making, Computer and Mathematics with Applications, 59, pp. 3308-3314.
[9] Gong, K., Xiao Z. and Zhang X., 2010. The bijective soft set with its operations, Computer and Mathematics with Applications, 60, pp. 2270-2278.
[10] N. Cağman,  F. Citak  and S. Enginoglu, FP-soft set theory and its applications, Annals of Fuzzy Mathematics and Informatics 2(2) (2011), 219--226.
[11] Maji, P.K., Biswas, R. and Roy, A.R., 2001. Fuzzy soft set. The Journal of Fuzzy Mathematics, 9(3), pp. 589-602.
[12] Yang, C.F., 2011. Fuzzy soft semigroups and fuzzy soft ideals. Computer and Mathematics with Applications, 44, pp. 255-261.
[13] Suebsan, P., 2021. On relative fuzzy soft sets over some semigroups in decision-making problems. Journal of Discrete Mathematical Sciences and Cryptography, 24(1), pp. 209-222. Doi:10.1080/09720529.2020.1845466
[14] Howie, M.J., An introduction to semigroup theory, Acadamic Press, London, 1976.

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