Research Article

Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Application to a Performance-Based Value Assignment Problem

Number: 29 December 30, 2019
EN

Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Application to a Performance-Based Value Assignment Problem

Abstract

Soft sets have been successfully applied to many different fields to cope with uncertainties. Recently, to increase the success of the applications, these sets have been combined with other theories, such as fuzzy sets and intuitionistic fuzzy sets. In this study, we propose the concept of fuzzy parameterized intuitionistic fuzzy soft sets (fpifs-sets). We then apply these sets to a performance-based value assignment (PVA) problem. Finally, we give suggestions for further research.

Keywords

References

  1. L. A. Zadeh, Fuzzy Sets, Information and Control 8(3) (1965) 338-353.
  2. K. T. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems 20(1) (1986) 87-96.
  3. D. A. Molodtsov, Soft Set Theory-First Results, Computers and Mathematics with Applications 37(4-5) (1999) 19-31.
  4. P. K. Maji, R. Biswas, A. R. Roy, Fuzzy Soft Sets, Journal of Fuzzy Mathematics 9(3) (2001) 589-602.
  5. P. K. Maji, R. Biswas, A. R. Roy, Intuitionistic Fuzzy Soft Sets, The Journal of Fuzzy Mathematics 9(3) (2001) 677-692.
  6. N. Çağman, F. Çıtak, S. Enginoğlu, FP-Soft Set Theory and Its Applications, Annals of Fuzzy Mathematics and Informatics 2(2) (2011) 219-226.
  7. N. Çağman, F. Çıtak, S. Enginoğlu, Fuzzy Parameterized Fuzzy Soft Set Theory and Its Applications, Turkish Journal of Fuzzy Systems 1(1) (2010) 21-35.
  8. İ. Deli, N. Çağman, Intuitionistic Fuzzy Parameterized Soft Set Theory and Its Decision Making, Applied Soft Computing 28 (2015) 109-113.

Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Authors

Emre Sulukan * This is me
Türkiye

Naim Cagman
Türkiye

Publication Date

December 30, 2019

Submission Date

December 6, 2019

Acceptance Date

December 26, 2019

Published in Issue

Year 2019 Number: 29

APA
Sulukan, E., Cagman, N., & Aydın, T. (2019). Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Application to a Performance-Based Value Assignment Problem. Journal of New Theory, 29, 79-88. https://izlik.org/JA86SK25NC
AMA
1.Sulukan E, Cagman N, Aydın T. Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Application to a Performance-Based Value Assignment Problem. JNT. 2019;(29):79-88. https://izlik.org/JA86SK25NC
Chicago
Sulukan, Emre, Naim Cagman, and Tuğçe Aydın. 2019. “Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Application to a Performance-Based Value Assignment Problem”. Journal of New Theory, nos. 29: 79-88. https://izlik.org/JA86SK25NC.
EndNote
Sulukan E, Cagman N, Aydın T (December 1, 2019) Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Application to a Performance-Based Value Assignment Problem. Journal of New Theory 29 79–88.
IEEE
[1]E. Sulukan, N. Cagman, and T. Aydın, “Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Application to a Performance-Based Value Assignment Problem”, JNT, no. 29, pp. 79–88, Dec. 2019, [Online]. Available: https://izlik.org/JA86SK25NC
ISNAD
Sulukan, Emre - Cagman, Naim - Aydın, Tuğçe. “Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Application to a Performance-Based Value Assignment Problem”. Journal of New Theory. 29 (December 1, 2019): 79-88. https://izlik.org/JA86SK25NC.
JAMA
1.Sulukan E, Cagman N, Aydın T. Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Application to a Performance-Based Value Assignment Problem. JNT. 2019;:79–88.
MLA
Sulukan, Emre, et al. “Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Application to a Performance-Based Value Assignment Problem”. Journal of New Theory, no. 29, Dec. 2019, pp. 79-88, https://izlik.org/JA86SK25NC.
Vancouver
1.Emre Sulukan, Naim Cagman, Tuğçe Aydın. Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Application to a Performance-Based Value Assignment Problem. JNT [Internet]. 2019 Dec. 1;(29):79-88. Available from: https://izlik.org/JA86SK25NC

 

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