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Consistency-based algorithms to estimate missing elements for uncertain 2-tuple linguistic preference relations

Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-09-03

Journal: INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS

Included Journals: Scopus、EI、SCIE

Volume: 7

Issue: 5

Page Number: 924-936

ISSN: 1875-6891

Key Words: uncertain linguistic preference relation; 2-tuple linguistic; incomplete preference relation; additive consistency; goal programming

Abstract: For actual decision making problems, decision makers sometimes may have difficulty to provide all the preference information over alternatives through pairwise comparisons. In this paper, we focus on estimating missing elements for an incomplete uncertain 2-tuple linguistic preference relation. First, the additive consistency of an uncertain 2-tuple linguistic preference relation is defined. Based on the defined additive consistency, we define acceptable incomplete uncertain 2-tuple linguistic preference relation and propose two new algorithms, including an iterative algorithm and an optimization-based algorithm to estimate the missing elements for an uncertain 2-tuple linguistic preference relation. Finally, some numerical examples are presented to illustrate the applicability of the two algorithms.

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