Evolving a linear programming technique for MAGDM problems with interval valued intuitionistic fuzzy information

Seyed Hossein Razavi Hajiagha, Hannan Amoozad Mahdiraji, Shide Sadat Hashemi, Edmundas Kazimieras Zavadskas

Research output: Contribution to journalArticle

16 Citations (Scopus)
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Abstract

It is believed that multi attribute decision making problem is an ill-defined and unstructured problem. This difficulty intensifies while considering the uncertainty of decision makers’ information about the problem. In recent years, interval valued intuitionistic fuzzy sets (hereafter IVIFs) as a generalization of ordinal fuzzy sets, became a well-known and widely applied framework for dealing with uncertainty of decision making problems. However, the mathematical programming aspects of interval valued intuitionistic fuzzy sets besides their applications in decision making problems are neglected. To reinforce the mathematical programming approach in IVIF environment, an IVIF multi attribute group decision making problem is formulated as a linear programming model. Using a variable transformation and the notion of aggregation operators, the proposed model is transformed into an equivalent linear programming model solvable by common approaches. Application of the proposed method is represented in a group decision making problem and the results are compared with similar methods, proving the compatibility of the proposed method with previous ones. The solid and understandable logic with computational easiness are the main advantages of the proposed method. Solving interval valued intuitionistic fuzzy linear programming problems can be applied lucratively in other problems being formulated in this context.
Original languageEnglish
Pages (from-to)9318-9325
Number of pages8
JournalExpert Systems with Applications
Volume42
Issue number23
Early online date4 Aug 2015
DOIs
Publication statusPublished - 15 Dec 2015
Externally publishedYes

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Linear programming
Decision making
Fuzzy sets
Mathematical programming
Agglomeration
Uncertainty

Bibliographical note

NOTICE: this is the author’s version of a work that was accepted for publication in Expert Systems with Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Expert Systems with Applications, Vol. 42, No. 23, (2015) DOI: 10.1016/j.eswa.2015.07.067

© 2015, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/

Keywords

  • Multiattribute group decision making
  • Interval valued intuitionistic fuzzy sets
  • Variable transformation
  • Aggregation operators

Cite this

Evolving a linear programming technique for MAGDM problems with interval valued intuitionistic fuzzy information. / Hajiagha, Seyed Hossein Razavi; Amoozad Mahdiraji, Hannan ; Hashemi, Shide Sadat; Zavadskas, Edmundas Kazimieras.

In: Expert Systems with Applications, Vol. 42, No. 23, 15.12.2015, p. 9318-9325.

Research output: Contribution to journalArticle

Hajiagha, Seyed Hossein Razavi ; Amoozad Mahdiraji, Hannan ; Hashemi, Shide Sadat ; Zavadskas, Edmundas Kazimieras. / Evolving a linear programming technique for MAGDM problems with interval valued intuitionistic fuzzy information. In: Expert Systems with Applications. 2015 ; Vol. 42, No. 23. pp. 9318-9325.
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