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Hesitant Fuzzy Multiple Criteria Decision Analysis Based on TOPSIS Read chapter Read first chapter

2017 | OriginalPaper | Chapter

2. Hesitant Fuzzy Multiple Criteria Decision Analysis Based on TODIM

Authors : Xiaolu Zhang, Zeshui Xu

Published in: Hesitant Fuzzy Methods for Multiple Criteria Decision Analysis

Publisher: Springer International Publishing

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Abstract

The TODIM is a valuable technique for solving classical MCDM problems in case of considering the decision maker’s psychological behavior. One main goal of this chapter is to introduce the measured functions-based hesitant fuzzy TODIM technique to deal with the behavioral MCDM problem under hesitant fuzzy environments. The main advantages of this technique are that (1) it can handle the MCDM problems in which the ratings of alternatives with respect to each criterion are represented by HFEs or IVHFEs and (2) it can take the decision maker’s psychological behavior into account. Another aim of this chapter is to present the hesitant trapezoidal fuzzy TODIM method with a closeness index-based ranking approach to handle MCGDM problems in which decision data is expressed as comparative linguistic expressions based on HTrFNs. This proposed method first transforms comparative linguistic expressions into HTrFNs for carrying out computing with word processes. Then, a closeness index-based ranking method is proposed for comparing the magnitude of HTrFNs. By using such a ranking method, the dominance values of alternatives over others for each expert are calculated. Next, a nonlinear programming model is established to derive the dominance values of alternatives over others for the group and correspondingly the optimal ranking order of alternatives is determined.

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previous chapter Hesitant Fuzzy Multiple Criteria Decision Analysis Based on TOPSIS
next chapter Hesitant Fuzzy Multiple Criteria Decision Analysis Based on QUALIFLEX
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Metadata
Title
Hesitant Fuzzy Multiple Criteria Decision Analysis Based on TODIM
Authors
Xiaolu Zhang
Zeshui Xu
Copyright Year
2017
Book
Hesitant Fuzzy Methods for Multiple Criteria Decision Analysis

Print ISBN: 978-3-319-42000-4

Electronic ISBN: 978-3-319-42001-1

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-42001-1_2

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