Algebraic operations of virtual fuzzy parameterized soft sets and their application in decision-making

Orhan Dalkılıç; Naime Demirtaş

EN

Algebraic operations of virtual fuzzy parameterized soft sets and their application in decision-making

Abstract

It is a difficult task for decision-makers to accurately state a membership degree in the range [0,1]. The virtual fuzzy parameterized soft sets (VFPSSs) proposed to overcome this problem is an effective mathematical tool constructed, including the abilities of fuzzy sets and soft sets. In this paper, algebraic operations of VFPSSs are defined and examined these operations' properties. Then, a decision-making algorithm is proposed by the aforesaid operations. Finally, the proposed algorithm is succesfully applied to a decision-making problem.

Keywords

References

[1] Zadeh L.A., Fuzzy sets, Information and Control, 8 (1965) 338-353.
[2] Pawlak Z., Rough sets, International Journal of Computing and Information Sciences, 11 (1982) 341-356.
[3] Molodtsov D., Soft set theory-first results, Computers and Mathematics with Applications, 37 (1999) 19-31.
[4] Zou Y. and Xiao Z., Data analysis approaches of soft sets under incomplete information, Knowledge-Based Systems, 21 (2008) 941–945.
[5] Selvakumari K., Solving Game Problem Using Weighted Soft Sets, Journal of Computer and Mathematical Sciences, 9(10) (2018) 1307-1311.
[6] Deli I. and Çağman N., Application of soft sets in decision-making based on game theory, Ann Fuzzy Math Inform, 11(3) (2016) 425-438.
[7] Kamacı, H., A novel approach to similarity of soft sets, Adıyaman University Journal of Science, 9(1) (2019), 23-35.
[8] Aygün, E. and Kamacı, H., Some new algebraic structures of soft sets. Soft Computing, 25 (2021) 8609-8626.

[9] Kamacı, H., Interval-valued fuzzy parameterized intuitionistic fuzzy soft sets and their applications, Cumhuriyet Sci. J., 40(2) (2019) 317-331.
[10] Kamacı, H., On Hybrid Structures of Hypersoft Sets and Rough Sets, International Journal of Modern Science and Technology, 6(4) (2021) 69-82.
[11] Maji P.K., Roy A.R. and Biswas R., Fuzzy soft sets, Journal of Fuzzy Mathematics, 9(3) (2001) 589-602.
[12] Çağman N., Enginoğlu S. and Çıtak F., Fuzzy soft set theory and its applications, Iranian Journal of Fuzzy Systems, 8(3) (2011) 137-147.
[13] Demirtaş N. and Dalkılıç O., An application in the diagnosis of prostate cancer with the help of bipolar soft rough sets, on Mathematics and Mathematics Education (ICMME 2019), KONYA, 283, (2019).
[14] Demirtaş N., Hussaın S. and Dalkılıç O., New approaches of inverse soft rough sets and their applications in a decision-making problem, Journal of Applied Mathematics and Informatics, 38(3-4) (2020) 335-349.
[15] Dalkılıç O., An Application of VFPFSS’s in Decision-Making Problems, Journal of Polytechnic,758474 (2020).
[16] Kamal N.L.A.M., Abdullah L., Abdullah I., Alkhazaleh S. and Karaaslan F., Multi-valued interval neutrosophic soft set: Formulation and Theory, Neutrosophic Sets and Systems, 30(1) (2019) 12.
[17] Hooda D.S., Kumari R. and Sharma D.K., Intuitionistic Fuzzy Soft Set Theory and Its Application in Medical Diagnosis, International Journal of Statistics in Medical Research, 7(3) (2018) 70-76.
[18] Smarandache F, A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability, American Research Press, Rehoboth, NM, (1999).
[19] Çağman N., Çıtak F. and Enginoğlu S., FP-soft Set Theory and Its Applications, Annals of Fuzzy Mathematics and Informatics, 2 (2011) 219-226.
[20] Dalkılıç O. and Demirtas N., VFP-Soft Sets and Its Application on Decision-Making Problems, Journal of Polytechnic, 685634 (2020).
[21] Zimmermann, H., J. Fuzzy Set Theory and Its Applications. 2nd Edition. Dordrecht: Kluwer Academic Publishers, (1991).
[22] Çağman, N. and İrfan, D., Products of FP-soft sets and their applications, Hacettepe Journal of Mathematics and Statistics, 41(3) (2012) 365-374.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Orhan Dalkılıç ^*
0000-0003-3875-1398
Türkiye

Naime Demirtaş
0000-0003-4137-4810
Türkiye

Publication Date

December 29, 2021

Submission Date

April 16, 2021

Acceptance Date

October 27, 2021

Published in Issue

Year 2021 Volume: 42 Number: 4

IZ

https://izlik.org/JA52HE49ES

Cite

RIS / Bibtex

APA

Dalkılıç, O., & Demirtaş, N. (2021). Algebraic operations of virtual fuzzy parameterized soft sets and their application in decision-making. Cumhuriyet Science Journal, 42(4), 878-889. https://izlik.org/JA52HE49ES

Algebraic operations of virtual fuzzy parameterized soft sets and their application in decision-making

Abstract

Keywords

Öz

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

IZ

Cite