Preference programming approach for solving intuitionistic fuzzy AHP

DOI

10.1080/18756891.2015.1099904How to use a DOI?

Keywords

AHP, Intuitionistic fuzzy numbers, Decision making

Abstract

The aim of this paper is to present a novel approach for deriving weights of the decision criteria or alternatives in multi-attribute decision making (MADM) under intuitionistic fuzzy (IF) environment. In order to tackle the uncertainty and imprecision of the practical situations, decision makers’ pair-wise comparison judgments are represented by intuitionistic fuzzy numbers (IFNs). The assessment of the priorities from these IF pair-wise comparison judgments is formulated as an IF decision making problem where goals are described in intuitionistic fuzzy sense. Then by resolving hesitancy via a parameter, IF goals are transformed into fuzzy goals. Finally, aggregation of fuzzy goals and application of the max - min principle lead us to a nonlinear optimization problem whose solution gives the desired crisp priorities. Unlike the other prioritization methods, the proposed approach generates crisp priorities from IF pair-wise comparison matrix. Thus, the proposed approach eliminates the additional requirement of arithmetic operations of IFNs for aggregation and also avoids the ranking process of IFNs to compare the final IF priorities, which may produce ambiguous results. Finally, examples are given to illustrate the proposed process with an application to MADM problem.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Bapi Dutta
AU  - Debashree Guha
PY  - 2015
DA  - 2015/09/01
TI  - Preference programming approach for solving intuitionistic fuzzy AHP
JO  - International Journal of Computational Intelligence Systems
SP  - 977
EP  - 991
VL  - 8
IS  - 5
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2015.1099904
DO  - 10.1080/18756891.2015.1099904
ID  - Dutta2015
ER  -