FUZZY SOFT SET AND ITS APPLICATION IN SELECTING BEST CANDIDATE(S) FOR A JOB USING AGGREGATE FUZZY SET APPROACH

Authors

Keywords:

Fuzzy set, Soft set, Fuzzy soft set, AND Operation, OR Operation, Aggregation.

Abstract

Molodtsov in 1999 introduced the concept of soft set theory as a general mathematical tool for handling uncertainties about vague concepts. In this paper, we recalled the definitions of soft set, fuzzy set and some basic operations in soft set. We presented the definition of fuzzy soft set and contributed some related algebraic properties with illustrative examples. We also defined extended intersection, restricted union, AND product, OR product and proved that associative laws holds with respect to AND and OR products. De Morgan’s laws and inclusions were stated and proved in the background of fuzzy soft set with respect to various operations with some relevant examples. Finally, we presented the application of fuzzy soft set in multicriteria decision making in choosing a best candidate for a job using aggregate fuzzy set technique.
2010 AMS Classification: 03E70, 03E04.

 

Dimensions

Ahmad, B. and Kharal, A. (2009). On Fuzzy Soft Set. Advances in Fuzzy Systems, 2009: 1-6.

Ali, M. I., Feng, F., Lui, X., Min, W. K. and Shabir, M. (2009). On some new operations in soft set theory. Computers and Mathematics with Applications, 57: 1547- 1553.

Attanasov, K. (1994). Operators over Interval valued Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, 64: 159-174.

Attanasov, K. (1986). Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, 20: 87-96.

Cagman, N., Enginoglu, S. and Citak, F. (2011). Fuzzy Soft Set and its Applications. Iranian Journal of Fuzzy Systems, 8(3): 137-147.

Gau, W. L. and Buehrer, D. J. (1993). Vague Sets, IEEE Trans. System Man Cybernet, 23(2): 610-614.

Gorzalzany, M. B. (1987). A Method of Inference in approximate reasoning based on interval-valued fuzzy sets, Fuzzy sets and Systems, 21: 1-17.

Koyuncu, F. and Tanay, B. (2016). Some Soft Algebraic structures. Journal of new Results in Sciences, Graduate school of Natural and Applied Sciences, Gaziosmanpasa University, 10: 38-51.

Maji, P. K., Biswas, R. and Roy, A. R. (2003). Soft Set Theory, Computer and Mathematics with Applications, 45: 555-562.

Molodtsov, D. (1999). Soft Set Theory- first results, Computer and Mathematics with Applications, 37:19- 31.

Pawlak, Z. (1982). Rough Sets, International Journal of information and Computer science, 11: 341-356.

Prade, H. and Duboise, D. (1980). Fuzzy Sets and Systems Theory and Applications, Academic Press, London.

Zadeh, L. A. (1965). Fuzzy Sets, Information and Control, 8: 338-353.

Zimmerman, H. J. (1996). Fuzzy Set Theory and its Applications, Kluwer Academic Publishers, Boston.

Published

16-03-2023

How to Cite

FUZZY SOFT SET AND ITS APPLICATION IN SELECTING BEST CANDIDATE(S) FOR A JOB USING AGGREGATE FUZZY SET APPROACH. (2023). FUDMA JOURNAL OF SCIENCES, 2(2), 60-71. https://fjs.fudutsinma.edu.ng/index.php/fjs/article/view/1351

Issue

Vol. 2 No. 2 (2018): FUDMA Journal of Sciences - Vol. 2 No. 2

Section

Research Articles
Copyright & Licensing

How to Cite

FUZZY SOFT SET AND ITS APPLICATION IN SELECTING BEST CANDIDATE(S) FOR A JOB USING AGGREGATE FUZZY SET APPROACH. (2023). FUDMA JOURNAL OF SCIENCES, 2(2), 60-71. https://fjs.fudutsinma.edu.ng/index.php/fjs/article/view/1351