A fuzzy AHP approach based on the concept of possibility extent

The main purpose of this paper is to develop a fuzzy AHP method for tackling the uncertainty and imprecision existing in multi-criteria decision process. The proposed method uses fuzzy pair-wise comparison judgments in place of exact numerical values of the comparison ratios. The geometric mean tech...

Full description

Saved in:
Bibliographic Details
Published in:Quality & quantity 2013, Vol.47 (1), p.1-14
Main Authors: Chou, Chen-Hui, Liang, Gin-Shuh, Chang, Hung-Chung
Format: Article
Language:English
Subjects:
Certainty
Consumers
Customer relationship management
Decision making
Decisions
Econometric models
Fuzzy sets
Geometry
Hierarchies
Linguistics
Logic
Management
Mathematics
Matrices
Methodology of the Social Sciences
Product development
Research methodology
Set theory
Social Sciences
Studies
Values
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The main purpose of this paper is to develop a fuzzy AHP method for tackling the uncertainty and imprecision existing in multi-criteria decision process. The proposed method uses fuzzy pair-wise comparison judgments in place of exact numerical values of the comparison ratios. The geometric mean technique is used to integrate all decision-makers’ opinions and construct the fuzzy positive reciprocal matrices. The algebraic operations of triangular fuzzy numbers are utilized to calculate the fuzzy suitability indices of all alternatives. The extent analysis method is used to compute the degree of possibility of priority among fuzzy suitability indices. Besides, two principles are presented to solve the multi-criteria decision problem in a fuzzy decision environment. Principle I provides a partial preorder, and Principle II gives a total preorder on the set of the possible alternatives. Finally, a numerical example of selecting the company with optimal performance in performing customer relationship management is used to demonstrate the decision process of proposed method.
ISSN:0033-5177
1573-7845
DOI:10.1007/s11135-011-9473-6