TITLE

Multicriteria Decision-Making Method Using Expected Values in Trapezoidal Hesitant Fuzzy Setting

AUTHOR(S)
Jun Ye
PUB. DATE
June 2013
SOURCE
Journal of Convergence Information Technology;Jun2013, Vol. 8 Issue 11, p135
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
This paper extends hesitant fuzzy sets to trapezoidal hesitant fuzzy sets based on the combination of the concepts of trapezoidal fuzzy numbers and hesitant fuzzy sets and defines some operations on trapezoidal hesitant fuzzy sets. Then, a decision-making method with linguistic assessments is proposed based on expected values of trapezoidal hesitant fuzzy sets to solve the multicriteria decision-making problem in which the criteria weights are completely unknown and the criteria values for an alternative can be given by the linguistic values of trapezoidal fuzzy numbers provided by a group of decision makers to transform them into trapezoidal hesitant fuzzy sets. The criteria weights can be obtained by establishing a weight model based on the standard deviation of expected values from the trapezoidal hesitant fuzzy decision matrix. Then by an approach of weighted expected values for alternatives, the ranking order of all the alternatives can be determined and the best one can be easily identified as well. Finally, a practical example for the flexible manufacturing system is given to demonstrate the application of the proposed decision-making method. The numerical example shows that the proposed method is reasonable and applicable.
ACCESSION #
100205447

 

Related Articles

  • Some Similarity Measures for Triangular Fuzzy Number and Their Applications in Multiple Criteria Group Decision-Making. Liyuan Zhang; Xuanhua Xu; Li Tao // Journal of Applied Mathematics;2013, p1 

    We propose some similarity measures between two triangular fuzzy numbers (TFNs) based on the vector similarity measures in vector space, which can be used to aggregate the decision information with TFNs. A methodology for multiple criteria group decision-making (MCGDM) problems with triangular...

  • A general fuzzy TOPSIS model in multiple criteria decision making. Mahdavi, Iraj; Heidarzade, Armaghan; Sadeghpour-Gildeh, Bahram; Mahdavi-Amiri, Nezam // International Journal of Advanced Manufacturing Technology;Mar2010, Vol. 45 Issue 3/4, p406 

    Decision making is the process of finding the best option among the feasible alternatives. In classical multiple criteria decision-making (MCDM) methods, the ratings and the weights of the criteria are known precisely. Owning to vagueness of the decision data, the crisp data are inadequate for...

  • NONLINEAR ASSIGNMENT-BASED METHODS FOR INTERVAL-VALUED INTUITIONISTIC FUZZY MULTI-CRITERIA DECISION ANALYSIS WITH INCOMPLETE PREFERENCE INFORMATION. CHEN, TING-YU // International Journal of Information Technology & Decision Makin;Jul2012, Vol. 11 Issue 4, p821 

    In the context of interval-valued intuitionistic fuzzy sets, this paper develops nonlinear assignment-based methods to manage imprecise and uncertain subjective ratings under incomplete preference structures and thereby determines the optimal ranking order of the alternatives for multiple...

  • Fuzzy Multi-Objective Linear Programming Based on Compromise VIKOR Method. Razavi Hajiagha, Seyed Hossein; Mahdiraji, Hannan Amoozad; Zavadskas, Edmundas Kazimieras; Hashemi, Shide Sadat // International Journal of Information Technology & Decision Makin;Jul2014, Vol. 13 Issue 4, p679 

    Real-world decision-making problems often consist in considering multiple and antithetic objectives. Therefore, multi-objective decision making (MODM) is a practical framework in implicational areas. In this paper, a fuzzy MODM problem is considered, where all of its parameters are defined...

  • Ordering Alternatives under Fuzzy Multiple Criteria Decision Making via a Fuzzy Number Dominance Based Ranking Approach. Ta-Chung Chu; Charnsethikul, Peerayuth // International Journal of Fuzzy Systems;2013, Vol. 15 Issue 3, p263 

    This work suggests ordering alternatives under fuzzy multiple criteria decision making (MCDM) via a fuzzy number dominance based ranking approach, where the ratings of alternatives versus qualitative criteria and the importance weights of all criteria are assessed in linguistic values...

  • Interactive Fuzzy Decision Making for Hierarchical Multiobjective Stochastic Linear Programming Problems. Yano, Hitoshi // International MultiConference of Engineers & Computer Scientists;2012, Vol. 2, p1 

    In this paper, we focus on hierarchical multiobjective stochastic linear programming problems (HMOP) where multiple decision makers in a hierarchical organization have their own multiple objective linear functions together with common linear constraints. In order to deal with HMOP, a probability...

  • A Novel Distance between Vague Sets and Its Applications in Decision Making. Weibin Deng; Changlin Xu; Jin Liu; Feng Hu // Mathematical Problems in Engineering;2014, p1 

    A novel distance between vague sets (VSs) is presented after the inadequacies of existing distance measures between vague sets are analyzed by artificial vague sets. The proposed method investigates the assignment of degree of hesitation to the membership and non membership degree, and the...

  • Fuzzy Group Decision Making for the Selection of Facility Location. Ertuğrul, İrfan // Group Decision & Negotiation;Nov2011, Vol. 20 Issue 6, p725 

    In this paper, fuzzy group decision making based on extension of TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) method which was proposed by Chen (Fuzzy Sets Syst, 114:1-9, ) is adopted for facility location selection. In this method, the ratings of various alternatives...

  • Multi Objective Problem in Fuzzy Environment where Resources are Triangular Fuzzy Number. Gupta, Mousumi; Bhattacharjee, Debasish // European Journal of Scientific Research;Oct2010, Vol. 46 Issue 1, p99 

    No abstract available.

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics