Journal of Applied Mathematics

Generalized Fuzzy Soft Expert Set

Ayman A. Hazaymeh, Ismail B. Abdullah, Zaid T. Balkhi, and Rose I. Ibrahim

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Abstract

In 2011 Alkhazaleh and Salleh defined the concept of soft expert sets where the user can know the opinion of all the experts in one model and give an application of this concept in decision-making problems. Also, they introduced the concept of the fuzzy soft expert set as a combination between the soft expert set and the fuzzy set. In 2010 Majumdar and Samanta presented the concept of a generalized fuzzy soft sets. The purpose of this paper is to combine the work of Alkhazaleh and Salleh (2011) and Majumdar and Samanta (2010), from which we can obtain a new concept: generalized fuzzy soft expert sets (GFSESs). We also introduce its operations, namely, complement, union intersection, “AND” and “OR”, and study their properties. The generalized fuzzy soft expert sets are used to analyze a decision-making problem. Also in our model the user can know the opinion of all experts in one model. In this work we also introduce the concept of a generalized fuzzy soft expert sets with multiopinions (four opinions), which will be more effective and useful. Finally, we give an application of this concept in decision-making problem.

Article information

Source
J. Appl. Math. Volume 2012 (2012), Article ID 328195, 22 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495229

Digital Object Identifier
doi:10.1155/2012/328195

Mathematical Reviews number (MathSciNet)
MR2956513

Zentralblatt MATH identifier
1323.68496

Citation

Hazaymeh, Ayman A.; Abdullah, Ismail B.; Balkhi, Zaid T.; Ibrahim, Rose I. Generalized Fuzzy Soft Expert Set. J. Appl. Math. 2012 (2012), Article ID 328195, 22 pages. doi:10.1155/2012/328195. https://projecteuclid.org/euclid.jam/1355495229


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