New fuzzy preference relations and its application in group decision making

Decision making preferences to certain criteriabusually focus on positive degrees without considering the negative degrees. However, in real life situation, evaluation becomes morebcomprehensive if negative degrees are considered concurrently. Preference is expected to be more effective when consid...

Full description

Bibliographic Details
Main Authors: Muhamad Naim, Nur Syibrah, Abdullah, Mohd Lazim, Che Taib, Che Mohd Imran, Md. Tap, Abu Osman
Format: Article
Language:English
Published: World Academy of Science, Engineering and Technology (W A S E T) 2009
Subjects:
Online Access:http://irep.iium.edu.my/1004/1/New_fuzzy_preference_relations_and_its_application_in_group_decision_making.pdf
_version_ 1825644103681966080
author Muhamad Naim, Nur Syibrah
Abdullah, Mohd Lazim
Che Taib, Che Mohd Imran
Md. Tap, Abu Osman
author_facet Muhamad Naim, Nur Syibrah
Abdullah, Mohd Lazim
Che Taib, Che Mohd Imran
Md. Tap, Abu Osman
author_sort Muhamad Naim, Nur Syibrah
collection IIUM
description Decision making preferences to certain criteriabusually focus on positive degrees without considering the negative degrees. However, in real life situation, evaluation becomes morebcomprehensive if negative degrees are considered concurrently. Preference is expected to be more effective when considering both positive and negative degrees of preference to evaluate the best selection. Therefore, the aim of this paper is to propose the conflicting bifuzzy preference relations in group decision making by utilization of a novel score function. The onflicting bifuzzy preference relation is obtained by introducing some modifications on intuitionistic fuzzy preference relations. Releasing the intuitionistic condition by taking into account positive and negative degrees simultaneously and utilizing the novel score function are the main modifications to establish the proposed preference model. The proposed model is tested with a numerical example and proved to be simple and practical. The four-step decision model shows the efficiency of obtaining preference in group decision making.
first_indexed 2024-03-05T22:28:16Z
format Article
id oai:generic.eprints.org:1004
institution International Islamic University Malaysia
language English
last_indexed 2024-03-05T22:28:16Z
publishDate 2009
publisher World Academy of Science, Engineering and Technology (W A S E T)
record_format dspace
spelling oai:generic.eprints.org:10042012-08-02T01:27:19Z http://irep.iium.edu.my/1004/ New fuzzy preference relations and its application in group decision making Muhamad Naim, Nur Syibrah Abdullah, Mohd Lazim Che Taib, Che Mohd Imran Md. Tap, Abu Osman QA Mathematics Decision making preferences to certain criteriabusually focus on positive degrees without considering the negative degrees. However, in real life situation, evaluation becomes morebcomprehensive if negative degrees are considered concurrently. Preference is expected to be more effective when considering both positive and negative degrees of preference to evaluate the best selection. Therefore, the aim of this paper is to propose the conflicting bifuzzy preference relations in group decision making by utilization of a novel score function. The onflicting bifuzzy preference relation is obtained by introducing some modifications on intuitionistic fuzzy preference relations. Releasing the intuitionistic condition by taking into account positive and negative degrees simultaneously and utilizing the novel score function are the main modifications to establish the proposed preference model. The proposed model is tested with a numerical example and proved to be simple and practical. The four-step decision model shows the efficiency of obtaining preference in group decision making. World Academy of Science, Engineering and Technology (W A S E T) 2009 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1004/1/New_fuzzy_preference_relations_and_its_application_in_group_decision_making.pdf Muhamad Naim, Nur Syibrah and Abdullah, Mohd Lazim and Che Taib, Che Mohd Imran and Md. Tap, Abu Osman (2009) New fuzzy preference relations and its application in group decision making. World Academy of Science, Engineering and Technology, 54. pp. 690-695. ISSN 1307-6884 http://www.waset.org/journals/waset/v54/v54-121.pdf
spellingShingle QA Mathematics
Muhamad Naim, Nur Syibrah
Abdullah, Mohd Lazim
Che Taib, Che Mohd Imran
Md. Tap, Abu Osman
New fuzzy preference relations and its application in group decision making
title New fuzzy preference relations and its application in group decision making
title_full New fuzzy preference relations and its application in group decision making
title_fullStr New fuzzy preference relations and its application in group decision making
title_full_unstemmed New fuzzy preference relations and its application in group decision making
title_short New fuzzy preference relations and its application in group decision making
title_sort new fuzzy preference relations and its application in group decision making
topic QA Mathematics
url http://irep.iium.edu.my/1004/1/New_fuzzy_preference_relations_and_its_application_in_group_decision_making.pdf
work_keys_str_mv AT muhamadnaimnursyibrah newfuzzypreferencerelationsanditsapplicationingroupdecisionmaking
AT abdullahmohdlazim newfuzzypreferencerelationsanditsapplicationingroupdecisionmaking
AT chetaibchemohdimran newfuzzypreferencerelationsanditsapplicationingroupdecisionmaking
AT mdtapabuosman newfuzzypreferencerelationsanditsapplicationingroupdecisionmaking