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Group decision-making procedure based on incomplete reciprocal relations

Authors:

Jian ChenAuthors Info & Claims

Soft Computing - A Fusion of Foundations, Methodologies and Applications, Volume 12, Issue 6

Pages 515 - 521

Published: 01 April 2008 Publication History

Abstract

Xu (Int J Approx Reason 36:261---270, 2004) introduced the concepts of incomplete reciprocal relation and additive consistent incomplete reciprocal relation. The aim of this paper is to develop a novel procedure for group decision making with incomplete reciprocal relations. The procedure utilizes each given incomplete reciprocal relation to construct an auxiliary reciprocal relation based on additive transitivity, and then aggregates directly these auxiliary reciprocal relations into a collective auxiliary reciprocal relation. After that, based on the collective auxiliary reciprocal relation, a simple linear system of equations is established for ranking alternatives. Finally, a numerical example is given to illustrate the developed procedure.

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Cited By

Bashir ZRashid TXu Z(2018)Hesitant fuzzy preference relation based on α–normalization with self confidence in decision makingJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-1738035:3(3421-3435)Online publication date: 1-Jan-2018
https://dl.acm.org/doi/10.3233/JIFS-17380
Zhang H(2016)Group decision making based on incomplete multiplicative and fuzzy preference relationsApplied Soft Computing10.1016/j.asoc.2016.07.04648:C(735-744)Online publication date: 1-Nov-2016
https://dl.acm.org/doi/10.1016/j.asoc.2016.07.046
Girsang ATsai CYang C(2015)Repairing the inconsistent fuzzy preference matrix using multiobjective PSOAdvances in Fuzzy Systems10.1155/2015/4672742015(12-12)Online publication date: 1-Jan-2015
https://dl.acm.org/doi/10.1155/2015/467274
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Group decision-making procedure based on incomplete reciprocal relations

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cover image Soft Computing - A Fusion of Foundations, Methodologies and Applications

Soft Computing - A Fusion of Foundations, Methodologies and Applications Volume 12, Issue 6

April 2008

92 pages

ISSN:1432-7643

EISSN:1433-7479

Issue’s Table of Contents

Copyright © Copyright © 2008 Springer-Verlag.

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Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 01 April 2008

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Cited By

Bashir ZRashid TXu Z(2018)Hesitant fuzzy preference relation based on α–normalization with self confidence in decision makingJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-1738035:3(3421-3435)Online publication date: 1-Jan-2018
https://dl.acm.org/doi/10.3233/JIFS-17380
Zhang H(2016)Group decision making based on incomplete multiplicative and fuzzy preference relationsApplied Soft Computing10.1016/j.asoc.2016.07.04648:C(735-744)Online publication date: 1-Nov-2016
https://dl.acm.org/doi/10.1016/j.asoc.2016.07.046
Girsang ATsai CYang C(2015)Repairing the inconsistent fuzzy preference matrix using multiobjective PSOAdvances in Fuzzy Systems10.1155/2015/4672742015(12-12)Online publication date: 1-Jan-2015
https://dl.acm.org/doi/10.1155/2015/467274
Zeshui Xu (2015)Deviation Square Priority Method for Distinct Preference Structures Based on Generalized Multiplicative ConsistencyIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2014.234679423:4(1164-1180)Online publication date: 1-Aug-2015
https://dl.acm.org/doi/10.1109/TFUZZ.2014.2346794
Xu YChen LLi KWang H(2015)A chi-square method for priority derivation in group decision making with incomplete reciprocal preference relationsInformation Sciences: an International Journal10.1016/j.ins.2015.02.018306:C(166-179)Online publication date: 10-Jun-2015
https://dl.acm.org/doi/10.1016/j.ins.2015.02.018
Ureña RChiclana FMorente-Molinera JHerrera-Viedma E(2015)Managing incomplete preference relations in decision makingInformation Sciences: an International Journal10.1016/j.ins.2014.12.061302:C(14-32)Online publication date: 1-May-2015
https://dl.acm.org/doi/10.1016/j.ins.2014.12.061
Xu YChen LWang H(2015)A least deviation method for priority derivation in group decision making with incomplete reciprocal preference relationsInternational Journal of Approximate Reasoning10.1016/j.ijar.2015.08.00266:C(91-102)Online publication date: 1-Nov-2015
https://dl.acm.org/doi/10.1016/j.ijar.2015.08.002
Girsang ATsai CYang C(2015)Ant algorithm for modifying an inconsistent pairwise weighting matrix in an analytic hierarchy processNeural Computing and Applications10.1007/s00521-014-1630-026:2(313-327)Online publication date: 1-Feb-2015
https://dl.acm.org/doi/10.1007/s00521-014-1630-0
Xu YMa FTao FWang H(2014)Some methods to deal with unacceptable incomplete 2-tuple fuzzy linguistic preference relations in group decision makingKnowledge-Based Systems10.5555/2842045.284237456:C(179-190)Online publication date: 1-Jan-2014
https://dl.acm.org/doi/10.5555/2842045.2842374
Xu YLi KWang H(2014)Incomplete interval fuzzy preference relations and their applicationsComputers and Industrial Engineering10.1016/j.cie.2013.10.01067(93-103)Online publication date: 1-Jan-2014
https://dl.acm.org/doi/10.1016/j.cie.2013.10.010
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