Generalized Fuzzy Soft Expert Set

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 s...

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Main Authors: Ayman A. Hazaymeh, Ismail B. Abdullah, Zaid T. Balkhi, Rose I. Ibrahim
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/328195
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author Ayman A. Hazaymeh
Ismail B. Abdullah
Zaid T. Balkhi
Rose I. Ibrahim
author_facet Ayman A. Hazaymeh
Ismail B. Abdullah
Zaid T. Balkhi
Rose I. Ibrahim
author_sort Ayman A. Hazaymeh
collection DOAJ
description 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.
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institution Kabale University
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spelling doaj-art-42b2d69fca954f1396fa85178d31a1612025-08-20T03:36:02ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/328195328195Generalized Fuzzy Soft Expert SetAyman A. Hazaymeh0Ismail B. Abdullah1Zaid T. Balkhi2Rose I. Ibrahim3Faculty of Science and Technology, Universiti Sains Islam Malaysia, Bandar Baru Nilai, Negeri Sembilan, 71800 Nilai, MalaysiaFaculty of Science and Technology, Universiti Sains Islam Malaysia, Bandar Baru Nilai, Negeri Sembilan, 71800 Nilai, MalaysiaFaculty of Science and Technology, Universiti Sains Islam Malaysia, Bandar Baru Nilai, Negeri Sembilan, 71800 Nilai, MalaysiaFaculty of Science and Technology, Universiti Sains Islam Malaysia, Bandar Baru Nilai, Negeri Sembilan, 71800 Nilai, MalaysiaIn 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.http://dx.doi.org/10.1155/2012/328195
spellingShingle Ayman A. Hazaymeh
Ismail B. Abdullah
Zaid T. Balkhi
Rose I. Ibrahim
Generalized Fuzzy Soft Expert Set
Journal of Applied Mathematics
title Generalized Fuzzy Soft Expert Set
title_full Generalized Fuzzy Soft Expert Set
title_fullStr Generalized Fuzzy Soft Expert Set
title_full_unstemmed Generalized Fuzzy Soft Expert Set
title_short Generalized Fuzzy Soft Expert Set
title_sort generalized fuzzy soft expert set
url http://dx.doi.org/10.1155/2012/328195
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