Developing a Comprehensive Method for the Fuzzy Analytic Hierarchy Process (With emphasis on revising of fuzzy inconsistency pair wise comparison matrix)
Subject Areas : Business ManagementAli Reza Bafandeh 1 , Morteza Mahmoodzadeh 2
1 - Department of Management, Tabriz Branch, Islamic Azad University, Tabriz, Iran
2 - Senior Manager of Industrial Management at Islamic Azad University, Tabriz Branch
Keywords: Genetic Algorithm, FAHP, Ranking, Fuzzy pair wise comparison matrices, Inconsistency,
Abstract :
In this paper a new method to improve the inconsistency of pair wise comparison matrices is proposed. To do so, we used Zeshui’s method in fuzzy form. Also we developed a complete fuzzy AHP method by combining Cao’s inconsistency test method, Buckley’s revised AHP method, Chen’s ranking method, and Genetic Algorithm method to calculate the overall priorities
Arbel Ami, (1989), Approximate articulation of preference and priority derivation, European Journal of Operational Research, 43, 317-326.
Ballou H. Ronal, (2004), Business Logistics/Supply Chain Management, Pearson, fifth edition.
Boender C. G. E., Graan J. G. de, Lootsmaf, A., (1989), Multi criteria decision analysis withfuzzy pairwise comparissons, Fuzzy sets and systems, 29, 133-143.
Boer Luitzen de, Labro Eva, Morlacchi Pierangeal, (2001), A review of methods supporting supplier selection, European journal of Purchasing & Supply Management, 7, 75-89.
Buckley James J., (1985), Fuzzy hierarchical analysis, Fuzzy sets and systems, 17, 233-247.
Buckley James J., Feuring Thomas, Hayashi Yoichi, (2001), Fuzzy hierarchical analysis revisited, European Journal of Operational Research, 129, 48-64.
Chang Da-Yong, (1996), Applications of extent analysis method on fuzzy AHP, European Journal of Operational Research, 95, 649-655.
Chang Pao-Long, chen Yaw-Chu, (1994), A fuzzy multi-criteria decision making method for technology transfer strategy selection in biotechnology, Fuzzy sets and systems, 63, 131-139.
Chen Shu-Jen, Hwnag Ching-Lai, (1992), Fuzzy Multiple Attribute Decision Making.
Chen Shyi-Ming, (1996), Evaluating weapon systems using fuzzy arithmetic operations, Fuzzy sets and systems, 77, 256-276.
Cheng Ching-Hsue, (1999), Evaluating weapon systems using ranking fuzzy numbers, Fuzzy sets and systems, 107, 25-35.
Cheng Ching-Huse, (1996), Evaluating naval tactical missile systems by fuzzy AHP based on the grade value of membership function, European Journal of Operational Research, 96, 343-350.
Cheng Ching-Huse, Yang kuo-Lung, Hwang Chia-Lung, (1999), Evaluating attack helicopters by AHP based on linguistic variable weight, European Journal of Operational Research, 116, 423-435.
Deng Hepu, (1999), Multicriteria analysis with fuzzy pairwise comparison, International Journal of Approximate Reasoning, 21, 215-231.
Gogus Ozerk, Boucher O. Thomas, (1997), A consistency test for rational weights in multi-criterion decision analysis with fuzzy pairwise comparisions, Fuzzy sets and systems, 86, 129-138.
Juang C.H., Lee D.H., (1991), A fuzzy scale for measuring weight criteria in hierarchval structure, International Fuzzy Engineering Symposium, 415-421.
Kaufmann A., Gupta M.M., (1991), Introduction to fuzzy arithmetic theory and applications, Van Nostrand Reinhold, New York.
Leung L.C., Cao D., (2000), On consistency and ranking of altenatives in fuzzy AHP, European Journal of Operational Research, 124, 102-113.
Mikhailov L., (2003), Deriving priorities from fuzzy pairwise judgements, Fuzzy sets and systems, Vol. 134, PP. 365-358.
Mikhailov L., (2000), A fuzzy programming method for deriving priorities in the analytic hierarchy process, Journal of the Operational Research Society, 51, 341-349.
Mon Don-Lin, Cheng Ching-Hsue, (1994), Evaluating weapon system by analytical hierarchy process based on fuzzy scales, Fuzzy sets and systems, 63, 1-10.
Mon Don-Lin, Cheng Ching-Hsue, Lin Jiann-Chern, (1994), Evaluating weapon system using fuzzy analytic hierarchy process based on entropy weight, Fuzzy sets and systems, 62, 127-134.
Salo Ahti A., (1996), on fuzzy ratio comparisons in hierarchical decision models, Fuzzy sets and systems, 84, 21-32.
Salo Ahti A., Hamalainen Raimo P., (1995), Preference programming through approximate ratio comparisions, European Journal of Operational Research, 82, 458-475.
Sonmez Mahmut, 2006, A Review and Critique of Supplier Selection Process and Practices, Loughborough University.
Stock R. James, (2001), Strategic logistics management, Mc GrawHill, fourth edtion.
van Laarhoven, P.J.M., Pedrycz W., (1983), A fuzzy extension of Saaty's priority theory, Fuzzy sets and systems, 11, 229-241.
Zeshui Xu, Cuiping Wei, (1999), A consistency improving method in the analytic hierarchy process, European Journal of Operational Research, 116, 443-449.
Zhu ke-Jun, Jing Yu, Chang Da-Yong, (1999), A discussion on extent analysis method and applications of fuzzy AHP, European Journal of Operational Research, 116, 450-456.
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Arbel Ami, (1989), Approximate articulation of preference and priority derivation, European Journal of Operational Research, 43, 317-326.
Ballou H. Ronal, (2004), Business Logistics/Supply Chain Management, Pearson, fifth edition.
Boender C. G. E., Graan J. G. de, Lootsmaf, A., (1989), Multi criteria decision analysis withfuzzy pairwise comparissons, Fuzzy sets and systems, 29, 133-143.
Boer Luitzen de, Labro Eva, Morlacchi Pierangeal, (2001), A review of methods supporting supplier selection, European journal of Purchasing & Supply Management, 7, 75-89.
Buckley James J., (1985), Fuzzy hierarchical analysis, Fuzzy sets and systems, 17, 233-247.
Buckley James J., Feuring Thomas, Hayashi Yoichi, (2001), Fuzzy hierarchical analysis revisited, European Journal of Operational Research, 129, 48-64.
Chang Da-Yong, (1996), Applications of extent analysis method on fuzzy AHP, European Journal of Operational Research, 95, 649-655.
Chang Pao-Long, chen Yaw-Chu, (1994), A fuzzy multi-criteria decision making method for technology transfer strategy selection in biotechnology, Fuzzy sets and systems, 63, 131-139.
Chen Shu-Jen, Hwnag Ching-Lai, (1992), Fuzzy Multiple Attribute Decision Making.
Chen Shyi-Ming, (1996), Evaluating weapon systems using fuzzy arithmetic operations, Fuzzy sets and systems, 77, 256-276.
Cheng Ching-Hsue, (1999), Evaluating weapon systems using ranking fuzzy numbers, Fuzzy sets and systems, 107, 25-35.
Cheng Ching-Huse, (1996), Evaluating naval tactical missile systems by fuzzy AHP based on the grade value of membership function, European Journal of Operational Research, 96, 343-350.
Cheng Ching-Huse, Yang kuo-Lung, Hwang Chia-Lung, (1999), Evaluating attack helicopters by AHP based on linguistic variable weight, European Journal of Operational Research, 116, 423-435.
Deng Hepu, (1999), Multicriteria analysis with fuzzy pairwise comparison, International Journal of Approximate Reasoning, 21, 215-231.
Gogus Ozerk, Boucher O. Thomas, (1997), A consistency test for rational weights in multi-criterion decision analysis with fuzzy pairwise comparisions, Fuzzy sets and systems, 86, 129-138.
Juang C.H., Lee D.H., (1991), A fuzzy scale for measuring weight criteria in hierarchval structure, International Fuzzy Engineering Symposium, 415-421.
Kaufmann A., Gupta M.M., (1991), Introduction to fuzzy arithmetic theory and applications, Van Nostrand Reinhold, New York.
Leung L.C., Cao D., (2000), On consistency and ranking of altenatives in fuzzy AHP, European Journal of Operational Research, 124, 102-113.
Mikhailov L., (2003), Deriving priorities from fuzzy pairwise judgements, Fuzzy sets and systems, Vol. 134, PP. 365-358.
Mikhailov L., (2000), A fuzzy programming method for deriving priorities in the analytic hierarchy process, Journal of the Operational Research Society, 51, 341-349.
Mon Don-Lin, Cheng Ching-Hsue, (1994), Evaluating weapon system by analytical hierarchy process based on fuzzy scales, Fuzzy sets and systems, 63, 1-10.
Mon Don-Lin, Cheng Ching-Hsue, Lin Jiann-Chern, (1994), Evaluating weapon system using fuzzy analytic hierarchy process based on entropy weight, Fuzzy sets and systems, 62, 127-134.
Salo Ahti A., (1996), on fuzzy ratio comparisons in hierarchical decision models, Fuzzy sets and systems, 84, 21-32.
Salo Ahti A., Hamalainen Raimo P., (1995), Preference programming through approximate ratio comparisions, European Journal of Operational Research, 82, 458-475.
Sonmez Mahmut, 2006, A Review and Critique of Supplier Selection Process and Practices, Loughborough University.
Stock R. James, (2001), Strategic logistics management, Mc GrawHill, fourth edtion.
van Laarhoven, P.J.M., Pedrycz W., (1983), A fuzzy extension of Saaty's priority theory, Fuzzy sets and systems, 11, 229-241.
Zeshui Xu, Cuiping Wei, (1999), A consistency improving method in the analytic hierarchy process, European Journal of Operational Research, 116, 443-449.
Zhu ke-Jun, Jing Yu, Chang Da-Yong, (1999), A discussion on extent analysis method and applications of fuzzy AHP, European Journal of Operational Research, 116, 450-456.