On Fuzzy Soft Expert Sets

Yıl 2015, Cilt: 4 Sayı: 9, 79 - 91, 01.09.2015

Serdar Enginoglu Hilal Donmez

Öz

Alkhazaleh and Salleh introduced the fuzzy soft expert sets which allow to know the opinion of more than one expert and the fuzzy set corresponding to it in one model. However, the paper Fuzzy Soft Expert Sets [Applied Mathematics, 2014, 5, 1349-1368] has some mistakes and the decision making algorithm given in this paper has some unnecessary steps. Furthermore the results of this algorithm and Maji et al's algorithm without reduction are equivalent. In this paper, for further study on the fuzzy soft expert sets, we have made it fit into this concept which is important for the development of the concept of soft sets by decontaminating from its own inconsistencies. Besides all these, we propose and apply an algorithm for the new concept by using new definitions and Maji et al's algorithm without reduction. We finally discuss this concept later on works.

Anahtar Kelimeler

Fuzzy sets, fuzzy soft sets, fuzzy soft expert sets, fuzzy soft operations, fuzzy decision making

Kaynakça

• Alhazaymeh K., Hassan N., Generalized vague soft expert set. International Journal of Pure and Applied Mathematics, 93 (3), 351-360, 2014a.
• Alhazaymeh K., Hassan N., Application of generalized vague soft expert set in decision making. International Journal of Pure and Applied Mathematics, 93 (3), 361-367, 2014b.
• Alhazaymeh K., Hassan N., Mapping on generalized vague soft expert set. International Journal of Pure and Applied Mathematics, 93 (3), 369-376, 2014c. Journal of New Results in Science 9 (2015) 79-91 91
• Ali M.I., Feng F., Liu X., Min W.K., Shabir M., On some new operations in soft set theory, Computers and Mathematics with Applications, 57 (9), 1547-1553, 2009.
• Alkhazaleh S., Salleh A.R., Soft expert sets, Hindawi Publishing Corporation Advances in Decision Sciences, Article ID 757868, 12 pages, 2011.
• Alkhazaleh S., Salleh A.R., Fuzzy soft expert set and its application, Applied Mathematics, 5, 1349-1368, 2014.
• Bashir M., Salleh A.R., Fuzzy parameterized soft expert set, Hindawi Publishing Corporation Abstract and Applied Analysis, Article ID 258361, 15 pages, 2012.
• Enginoğlu S., Soft Matrix, (PhD Thesis), (In Turkish), GOU, Graduate School of Natural and Applied Sciences, Departments of Mathematics, Tokat, Turkey, 2012.
• Hazaymeh A.A., Abdullah I.B., Balkhi Z.T., Ibrahim R.I., Generalized fuzzy soft expert set, Hindawi Publishing Corporation Advances in Decision Sciences, Article ID 328195, 22 pages, 2012a.
• Hazaymeh A., Abdullah I.B., Balkhi Z., Ibrahim R., Fuzzy parameterized fuzzy soft expert set, Applied Mathematical Sciences, 6 (112), 5547-5564, 2012b.
• Maji P.K., Roy A.R., Biswas R., An application of soft sets in a decision making problem, Computers and Mathematics with Applications, 44, 1077-1083, 2002.
• Maji P.K., Biswas R., Roy A.R., Soft set theory, Computers and Mathematics with Applications, 45, 555-562, 2003.
• Molodtsov D., Soft set theory-first results, Computers and Mathematics with Applications, 37 (4-5), 19-31, 1999.
• Zadeh L. A., Fuzzy Sets, Information and Control, 8, 338-353 1965.