A new method of obtaining the priority weights from an interval fuzzy preference relation

2012 ◽  
Vol 185 (1) ◽  
pp. 32-42 ◽  
Author(s):  
Fang Liu ◽  
Wei-Guo Zhang ◽  
Jun-Hui Fu
Keyword(s):  
Preference Relation ◽  
New Method ◽  
Fuzzy Preference Relation ◽  
Interval Fuzzy Preference Relation ◽  
Priority Weights ◽  
Fuzzy Preference

scholarly journals INCOMPLETE INTERVAL FUZZY PREFERENCE RELATIONS FOR SUPPLIER SELECTION IN SUPPLY CHAIN MANAGEMENT

2014 ◽  
Vol 21 (3) ◽  
pp. 379-404 ◽  
Author(s):  
Yejun XU ◽  
Ravi PATNAYAKUNI ◽  
Feifei TAO ◽  
Huimin WANG
Keyword(s):  
Supply Chain ◽  
Decision Maker ◽  
Supplier Selection ◽  
Preference Relation ◽  
Fuzzy Preference Relation ◽  
Chain Management ◽  
Preference Relations ◽  
Interval Fuzzy Preference Relation ◽  
Fuzzy Preference Relations ◽  
Fuzzy Preference

In the analytical hierarchy process (AHP), it needs the decision maker to establish a pairwise comparison matrix requires n(n–1)/2 judgments for a level with n criteria (or alternatives). In some instances, the decision maker may have to deal with the problems in which only partial information and uncertain preference relation is available. Consequently, the decision maker may provide interval fuzzy preference relation with incomplete information. In this paper, we focus our attention on the investigation of incomplete interval fuzzy preference relation. We first extend a characterization to the interval fuzzy preference relation which is based on the additive transitivity property. Using the characterization, we propose a method to construct interval additive consistent fuzzy preference relations from a set of n–1 preference data. The study reveals that the proposed method can not only alleviate the comparisons, but also ensure interval preference relations with the additive consistent property. We also develop a novel procedure to deal with the analytic hierarchy problem for group decision making with incomplete interval fuzzy preference relations. Finally, a numerical example is illustrated and a supplier selection case in supply chain management is investigated using the proposed method.

scholarly journals A New Model for Deriving the Priority Weights from Hesitant Triangular Fuzzy Preference Relations

2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
Yuan Liu ◽  
Gongtian Shen ◽  
Zhangyan Zhao ◽  
Zhanwen Wu
Keyword(s):  
Fuzzy Set ◽  
Failure Modes ◽  
Preference Relation ◽  
Hesitant Fuzzy Set ◽  
Fuzzy Preference Relation ◽  
New Model ◽  
Hesitant Fuzzy Preference Relation ◽  
Priority Weights ◽  
Hesitant Triangular Fuzzy Set ◽  
Fuzzy Preference

Fuzzy preference relation is a common tool to express the uncertain preference information of decision maker in the process of decision making. However, the traditional fuzzy preference relation will fail under hesitant fuzzy environment as the membership has a single value. In addition, it is very difficult to obtain the precise membership values. Therefore, a new model of fuzzy preference relation is proposed in this paper. Firstly, the concept of hesitant triangular fuzzy preference relation is defined and its properties are investigated based on the concepts of hesitant fuzzy set, hesitant triangular fuzzy set, fuzzy preference relation, and hesitant fuzzy preference relation. Then, the steps of applying this novel model are offered for the case of determining the weights of failure modes. Finally, an example is used to illustrate the proposed model.

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