An adjustable approach to multi-criteria group decision-making based on a preference relationship under fuzzy soft information

Group decision-making is a collaborative process to find optimal alternative based on an aggregation judgment. Various techniques have been suggested to solve decision-making problems; however, the rapid growth of uncertainties in industry and organizations highlights the application of fuzzy set th...

Full description

Bibliographic Details
Main Authors: Khameneh, Azadeh Zahedi, Kilicman, Adem, Salleh, Abdul Razak
Format: Article
Language:English
Published: Springer 2017
Online Access:http://psasir.upm.edu.my/id/eprint/60803/1/An%20adjustable%20approach%20to%20multi-criteria%20group%20decision-making%20based%20on%20a%20preference%20relationship%20under%20fuzzy%20soft%20information.pdf
_version_ 1825932246188556288
author Khameneh, Azadeh Zahedi
Kilicman, Adem
Salleh, Abdul Razak
author_facet Khameneh, Azadeh Zahedi
Kilicman, Adem
Salleh, Abdul Razak
author_sort Khameneh, Azadeh Zahedi
collection UPM
description Group decision-making is a collaborative process to find optimal alternative based on an aggregation judgment. Various techniques have been suggested to solve decision-making problems; however, the rapid growth of uncertainties in industry and organizations highlights the application of fuzzy set theory and soft set theory in this area. In this regard, fuzzy soft model can be considered as an efficient tool in decision-making. To date, different algorithms have been proposed for solving collective decision-making problems based on fuzzy soft set theory. In order to reach the process of consensus, the existing methods have mostly used the t-norms, such as “AND” operator which can be successfully applied to individual decision-making problems including multi-source datasets. However, such approaches fail to consider multi-observer problems in group decision-making processes. Additionally, in the selection step, the existing methods lack a comprehensive priority approach; they focus on a hierarchical preference which ignores incomparable alternatives. To overcome these issues, this paper proposes an adjustable multi-criteria group decision-making approach based on a preference relationship of fuzzy soft sets. First, we construct two topological spaces over the set of objects, and then, develop a preference relationship of objects by using open sets of these two topologies. A multi-phase method is then designed to rank objects in multi-criteria group decision-making problems based on such preference relationship. We also extend the proposed algorithm to weighted case in order to have a higher level of adaptability with real-world problems. Dataset from “www.booking.com” Web site is applied to show the capability of this new method in comparison with results from the well-known literature approaches.
first_indexed 2024-03-06T09:39:02Z
format Article
id upm.eprints-60803
institution Universiti Putra Malaysia
language English
last_indexed 2024-03-06T09:39:02Z
publishDate 2017
publisher Springer
record_format dspace
spelling upm.eprints-608032019-03-27T03:26:38Z http://psasir.upm.edu.my/id/eprint/60803/ An adjustable approach to multi-criteria group decision-making based on a preference relationship under fuzzy soft information Khameneh, Azadeh Zahedi Kilicman, Adem Salleh, Abdul Razak Group decision-making is a collaborative process to find optimal alternative based on an aggregation judgment. Various techniques have been suggested to solve decision-making problems; however, the rapid growth of uncertainties in industry and organizations highlights the application of fuzzy set theory and soft set theory in this area. In this regard, fuzzy soft model can be considered as an efficient tool in decision-making. To date, different algorithms have been proposed for solving collective decision-making problems based on fuzzy soft set theory. In order to reach the process of consensus, the existing methods have mostly used the t-norms, such as “AND” operator which can be successfully applied to individual decision-making problems including multi-source datasets. However, such approaches fail to consider multi-observer problems in group decision-making processes. Additionally, in the selection step, the existing methods lack a comprehensive priority approach; they focus on a hierarchical preference which ignores incomparable alternatives. To overcome these issues, this paper proposes an adjustable multi-criteria group decision-making approach based on a preference relationship of fuzzy soft sets. First, we construct two topological spaces over the set of objects, and then, develop a preference relationship of objects by using open sets of these two topologies. A multi-phase method is then designed to rank objects in multi-criteria group decision-making problems based on such preference relationship. We also extend the proposed algorithm to weighted case in order to have a higher level of adaptability with real-world problems. Dataset from “www.booking.com” Web site is applied to show the capability of this new method in comparison with results from the well-known literature approaches. Springer 2017 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/60803/1/An%20adjustable%20approach%20to%20multi-criteria%20group%20decision-making%20based%20on%20a%20preference%20relationship%20under%20fuzzy%20soft%20information.pdf Khameneh, Azadeh Zahedi and Kilicman, Adem and Salleh, Abdul Razak (2017) An adjustable approach to multi-criteria group decision-making based on a preference relationship under fuzzy soft information. International Journal of Fuzzy Systems, 19 (6). 1840 - 1865. ISSN 1562-2479; ESSN: 2199-3211 https://link.springer.com/article/10.1007/s40815-016-0280-z
spellingShingle Khameneh, Azadeh Zahedi
Kilicman, Adem
Salleh, Abdul Razak
An adjustable approach to multi-criteria group decision-making based on a preference relationship under fuzzy soft information
title An adjustable approach to multi-criteria group decision-making based on a preference relationship under fuzzy soft information
title_full An adjustable approach to multi-criteria group decision-making based on a preference relationship under fuzzy soft information
title_fullStr An adjustable approach to multi-criteria group decision-making based on a preference relationship under fuzzy soft information
title_full_unstemmed An adjustable approach to multi-criteria group decision-making based on a preference relationship under fuzzy soft information
title_short An adjustable approach to multi-criteria group decision-making based on a preference relationship under fuzzy soft information
title_sort adjustable approach to multi criteria group decision making based on a preference relationship under fuzzy soft information
url http://psasir.upm.edu.my/id/eprint/60803/1/An%20adjustable%20approach%20to%20multi-criteria%20group%20decision-making%20based%20on%20a%20preference%20relationship%20under%20fuzzy%20soft%20information.pdf
work_keys_str_mv AT khamenehazadehzahedi anadjustableapproachtomulticriteriagroupdecisionmakingbasedonapreferencerelationshipunderfuzzysoftinformation
AT kilicmanadem anadjustableapproachtomulticriteriagroupdecisionmakingbasedonapreferencerelationshipunderfuzzysoftinformation
AT sallehabdulrazak anadjustableapproachtomulticriteriagroupdecisionmakingbasedonapreferencerelationshipunderfuzzysoftinformation
AT khamenehazadehzahedi adjustableapproachtomulticriteriagroupdecisionmakingbasedonapreferencerelationshipunderfuzzysoftinformation
AT kilicmanadem adjustableapproachtomulticriteriagroupdecisionmakingbasedonapreferencerelationshipunderfuzzysoftinformation
AT sallehabdulrazak adjustableapproachtomulticriteriagroupdecisionmakingbasedonapreferencerelationshipunderfuzzysoftinformation