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Global Analysis and Discrete Mathematics
Articles in Press
Current Issue
Journal Archive
Volume Volume 3 (2018)
Issue Issue 1
Volume Volume 2 (2017)
Volume Volume 1 (2016)
Akhoundi, N., mehrparvar, M. (2018). Fuzzy Linear Programming Method for Deriving Priorities in the Fuzzy Analytic Hierarchy Process. Global Analysis and Discrete Mathematics, 3(1), 11-19. doi: 10.22128/gadm.2018.115
Nasser Akhoundi; maryam mehrparvar. "Fuzzy Linear Programming Method for Deriving Priorities in the Fuzzy Analytic Hierarchy Process". Global Analysis and Discrete Mathematics, 3, 1, 2018, 11-19. doi: 10.22128/gadm.2018.115
Akhoundi, N., mehrparvar, M. (2018). 'Fuzzy Linear Programming Method for Deriving Priorities in the Fuzzy Analytic Hierarchy Process', Global Analysis and Discrete Mathematics, 3(1), pp. 11-19. doi: 10.22128/gadm.2018.115
Akhoundi, N., mehrparvar, M. Fuzzy Linear Programming Method for Deriving Priorities in the Fuzzy Analytic Hierarchy Process. Global Analysis and Discrete Mathematics, 2018; 3(1): 11-19. doi: 10.22128/gadm.2018.115

Fuzzy Linear Programming Method for Deriving Priorities in the Fuzzy Analytic Hierarchy Process

Article 2, Volume 3, Issue 1, Summer and Autumn 2018, Page 11-19  XML PDF (94 K)
DOI: 10.22128/gadm.2018.115
Authors
Nasser Akhoundi 1; maryam mehrparvar2
1School of Mathematics and Computer Sciences, Damghan University, P.O. Box 36715{364, Damghan, Iran.
2Department of Applied Mathematics, Payame Noor University, Tehran, Iran.
Abstract
There are various methods for obtaining the preference vector of pair-wise comparison matrix factors. These methods can be employed when the elements of pair-wise comparison matrix are crisp while they are inefficient for fuzzy elements of pair-wise comparison matrix. In this paper, a method is proposed by which the preference vector of pair-wise comparison matrix elements can be obtained even if these elements are fuzzy. First we describe the method for the case of crisp pair-wise comparison matrix and then extend it to the case in which the pair-wise comparison matrix elements are fuzzy, finally, conclusion will be provided.
Keywords
AHP; Fuzzy AHP; Linear Programming
References
1. A. Chu, R. Kalaba, and K. Springam, A comparison of two methods for determining the weights of belonging to fuzzy sets, J. Opt. Theory and Appl., 27, 531-541 (1979).

2. G. Crawford, and C. Williams, A note on the analysis of subjective judgement matrices, J. Math. Psych., 29, 387-405 (1985).

3. L. Mikhailov, A fuzzy programming method for deriving priorities in the analytic hierarchy process, Journal of the Operational Research Society, 51(3), 341-349 (2000).

4. T.L. Saaty, Axiomatic foundations of the analytic hierarchy process, Management Science, 32, 841-855 (1986).

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