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

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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

AMA

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

Chicago

Dalkılıç, Orhan, and Naime Demirtaş. 2021. “Algebraic Operations of Virtual Fuzzy Parameterized Soft Sets and Their Application in Decision-Making”. Cumhuriyet Science Journal 42 (4): 878-89. https://izlik.org/JA52HE49ES.

EndNote

Dalkılıç O, Demirtaş N (December 1, 2021) Algebraic operations of virtual fuzzy parameterized soft sets and their application in decision-making. Cumhuriyet Science Journal 42 4 878–889.

IEEE

[1]O. Dalkılıç and N. Demirtaş, “Algebraic operations of virtual fuzzy parameterized soft sets and their application in decision-making”, CSJ, vol. 42, no. 4, pp. 878–889, Dec. 2021, [Online]. Available: https://izlik.org/JA52HE49ES

ISNAD

Dalkılıç, Orhan - Demirtaş, Naime. “Algebraic Operations of Virtual Fuzzy Parameterized Soft Sets and Their Application in Decision-Making”. Cumhuriyet Science Journal 42/4 (December 1, 2021): 878-889. https://izlik.org/JA52HE49ES.

JAMA

1.Dalkılıç O, Demirtaş N. Algebraic operations of virtual fuzzy parameterized soft sets and their application in decision-making. CSJ. 2021;42:878–889.

MLA

Dalkılıç, Orhan, and Naime Demirtaş. “Algebraic Operations of Virtual Fuzzy Parameterized Soft Sets and Their Application in Decision-Making”. Cumhuriyet Science Journal, vol. 42, no. 4, Dec. 2021, pp. 878-89, https://izlik.org/JA52HE49ES.

Vancouver

1.Orhan Dalkılıç, Naime Demirtaş. Algebraic operations of virtual fuzzy parameterized soft sets and their application in decision-making. CSJ [Internet]. 2021 Dec. 1;42(4):878-89. Available from: https://izlik.org/JA52HE49ES