Journal ArticleDOI
Distance-based nonlinear programming models to identify and adjust inconsistencies for linguistic preference relations
Yejun Xu,Cuiping Wei,Hao Sun +2 more
- Vol. 22, Iss: 14, pp 4833-4849
TLDR
A distance-based nonlinear programming method is developed to identify and adjust the ordinal and additive inconsistencies for linguistic preference relations and can not only solve the Ordinal inconsistency, additive inconsistency problems, respectively, but also solve the ordinals and additive consistency problems simultaneously.Abstract:
This paper studies the ordinal and additive inconsistency problems of linguistic preference relations. First, the definition of ordinal consistency of a linguistic preference relation is proposed. Based on the definition of adjacency matrix of a linguistic preference relation, the necessary and sufficient conditions of a linguistic preference relation being ordinally consistent are given. Then, a distance-based nonlinear programming method is developed to identify and adjust the ordinal and additive inconsistencies for linguistic preference relations. The proposed methods can not only solve the ordinal inconsistency, additive inconsistency problems, respectively, but also solve the ordinal and additive inconsistency problems simultaneously. Finally, numerical examples and comparative analysis are provided to show the effectiveness and advantages of the proposed methods.read more
Citations
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Journal ArticleDOI
Group decision-making approach for evaluating the sustainability of constructed wetlands with probabilistic linguistic preference relations
TL;DR: This study focuses on the probabilistic linguistic preference relations (PLPRs), and the cosine similarity measure of PLTSs is first proposed, and a strategy based on trust degree is investigated to derive important degrees of experts.
Journal ArticleDOI
An ordinal consistency-based group decision making process with probabilistic linguistic preference relation
TL;DR: An algorithm is put forward to check whether a PLPR is ordinal consistent and further identify the inconsistent elements for the inconsistent PLPR, and new aggregation operators are introduced and the whole decision-making procedure based on the ordinal consistency is presented.
Journal ArticleDOI
Selecting Project Delivery Systems Based on Simplified Neutrosophic Linguistic Preference Relations
TL;DR: A decision-making approach based on an extended linguistic preference structure: simplified neutrosophic linguistic preference relations (SNLPRs) is proposed and an example of its application in project delivery systems’ selection is offered and a comparison analysis is given.
Journal ArticleDOI
Consensus reaching with consistency control in group decision making with incomplete hesitant fuzzy linguistic preference relations
Zhu-Hao Li,Zhen Zhang,Wenyu Yu +2 more
TL;DR: Wang et al. as discussed by the authors developed an optimization model to impute missing elements for an hesitant fuzzy linguistic preference relations (IHFLPR) in group decision making (GDM) problems.
Journal ArticleDOI
Algorithm for improving additive consistency of linguistic preference relations with an integer optimization model
TL;DR: A new method for group decision making (GDM) with LPRs is presented and an additive consistency index is introduced on the basis of the information of the original LPR to check whether a LPR is acceptably additive consistency.
References
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TL;DR: Analytic Hierarchy Process (AHP) as mentioned in this paper is a systematic procedure for representing the elements of any problem hierarchically, which organizes the basic rationality by breaking down a problem into its smaller constituent parts and then guides decision makers through a series of pairwise comparison judgments to express the relative strength or intensity of impact of the elements in the hierarchy.
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Fuzzy logic = computing with words
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A 2-tuple fuzzy linguistic representation model for computing with words
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