Designing a Fuzzy Expert System to Evaluate Alternatives in Fuzzy Analytic Hierarchy Process

Hamed Fazlollahtabar, Hamid Eslami, Hamidreza Salmani

Mazandaran University of Science and Technology, Babol, Iran.
Science and Research Campus, Islamic Azad University, Member of Young Researchers Club, Tehran, Iran..

DOI: 10.4236/jsea.2010.34046                

Abstract

This paper concerns with proposing a fuzzy logic based expert system to breakthrough the problem of alternatives evaluation in Analytic Hierarchy Process (AHP). AHP as a multi criteria decision aid helped decision makers for ana-lyzing and prioritizing the alternatives in a hierarchical structure. During times AHP encountered some problems. Hence, fuzzy analytic hierarchy process (FAHP) and some other extensions of AHP have been configured to solve those problems.

Keywords

Multi Criteria Decision Making (MCDM), Analytic Hierarchy Process (AHP), Expert System

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	T. L. Saaty, “Multicriteria Decision Making: The Analytic Hierarchy Process,” RWS Publications, Pittsburgh, 1988.
[2]	O. S. Vaidya and S. Kumar, “Analytic Hierarchy Process: An Overview of Applications,” European Journal of Op-erational Research, Vol. 169, 2006, pp. 1-29.
[3]	P. J. M. Van Laarhoven and W. Pedrycz, “A Fuzzy Ex-tension of Saaty’s Priority Theory,” Fuzzy Sets and Sys-tems, Vol. 11, 1983, pp. 229-241.
[4]	Y. M. Wang, T. M. S. Elhag and Z. S. Hua, “A Modified Fuzzy Logarithmic Least Squares Method for Fuzzy Ana- lytic Hierarchy Process,” Fuzzy Sets and Systems, Vol. 157, 2006, pp. 3055-3071.
[5]	J. J. Buckley, “Fuzzy Hierarchical Analysis,” Fuzzy Sets and Systems, Vol. 17, 1985, pp. 233-247.
[6]	D. Y. Chang, “Applications of the Extent Analysis Method on Fuzzy AHP,” European Journal of Operational Research, Vol. 95, 1996, pp. 649-655.
[7]	R. Xu, “Fuzzy Least-Squares Priority Method in the Analytic Hierarchy Process,” Fuzzy Sets and Systems, Vol. 112, 2000, pp. 359-404.
[8]	L. Mikhailov, “Deriving Priorities from Fuzzy Pairwise Comparison Judgments,” Fuzzy Sets and Systems, Vol. 134, 2003, pp. 365-385.
[9]	R. Csutora, and J. J. Buckley, “Fuzzy Hierarchical Analy-sis: The Lamda-Max Method,” Fuzzy Sets and Systems, Vol. 120, 2001, pp. 181-195.
[10]	F. T. Bozbura and A. Beskese, “Prioritization of Organi-zational Capital Measurement Indicators Using Fuzzy AHP,” International Journal of Approximate Reasoning, Vol. 44, 2007, pp. 124-147.
[11]	F. T. Bozbura, A.Beskese and C. Kahraman, “Prioritiza-tion of Human Capital Measurement Indicators Using Fuzzy AHP,” Expert Systems with Applications, Vol. 32, 2007, pp. 1100-1112.
[12]	C. E. Bozdag, C. Kahraman and D. Ruan, “Fuzzy Group Decision Making for Selection among Computer Integrated Manufacturing Systems,” Computers in Industry, Vol. 51, 2003, pp. 13-29.
[13]	G. Bu¨yu¨ko¨zkan, “Multi-Criteria Decision Making for E-Marketplace Selection,” Internet Research, Vol. 14, No. 2, 2004, pp. 139-154.
[14]	G. Bu¨yu¨ko¨zkan, T. Ertay, C. Kahraman and D. Ruan, “Determining the Importance Weights for the Design Requirements in the House of Quality Using the Fuzzy Analytic Network Approach,” International Journal of Intelligent Systems, Vol. 19, 2004, pp. 443-461.
[15]	G. Bu¨yu¨ko¨zkan, C. Kahraman and D. Ruan, “A Fuzzy Multi-Criteria Decision Approach for Software Devel-opment Strategy Selection,” International Journal of General Systems, Vol. 33, 2004, pp. 259-280.
[16]	F. T. S. Chan and N. Kumar, “Global Supplier Develop-ment Considering Risk Factors Using Fuzzy Extended AHP Based Approach,” Omega, Vol. 35, 2007, pp. 417-431.
[17]	T. Ertay, G. Bu¨yu¨ko¨zkan, C. Kahraman and D. Ruan, “Quality Function Deployment Implementation Based on Analytic Network Process with Linguistic Data: An Ap-plication in Automotive Industry,” Journal of Intelligent and Fuzzy Systems, Vol. 16, 2005, pp. 221-232.
[18]	Y. C. Erensal, T. O¨ ncan and M. L. Demircan, “Deter-mining Key Capabilities in Technology Management Us-ing Fuzzy Analytic Hierarchy Process: A Case Study of Turkey,” Information Sciences, Vol. 176, 2006, pp. 2755- 2770.
[19]	C. Kahraman, U. Cebeci and D. Ruan, “Multi-Attribute Comparison of Catering Service Companies Using Fuzzy AHP: The Case of Turkey,” International Journal of Production Economics, Vol. 87, 2004, pp. 171-184.
[20]	C. Kahraman, U. Cebeci and Z. Ulukan, “Multi-Criteria Supplier Selection Using Fuzzy AHP,” Logistics Infor-mation Management, Vol. 16, No. 6, 2003, pp. 382-394.
[21]	C. Kahraman, T. Ertay, and G. Bu¨yu¨ko¨zkan, “A Fuzzy Optimization Model for QFD Planning Process Using Analytic Network Approach,” European Journal of Op-erational Research, Vol. 171, 2006, pp. 390-411.
[22]	C. Kahraman, D. Ruan and I. Dogan, “Fuzzy Group De-cision-Making for Facility Location Selection,” Informa-tion Sciences, Vol. 157, 2003, pp. 135-153.
[23]	O. Kulak and C. Kahraman, “Fuzzy Multi-Attribute Se-lection among Transportation Companies Using Axiomatic Design and Analytic Hierarchy Process,” Information Sci-ences, Vol. 170, 2005, pp. 191-210.
[24]	C. K. Kwong, and H. Bai, “Determining the Importance Weights for the Customer Requirements in QFD Using a Fuzzy AHP with an Extent Analysis Approach,” IIE Transactions, Vol. 35, 2003, pp. 619-626.
[25]	Y. C. Tang and M. Beynon, “Application and Develop-ment of a Fuzzy Analytic Hierarchy Process within a Capital Investment Study,” Journal of Economics and Management, Vol. 1, 2005, pp. 207-230.
[26]	E. Tolga, M. L. Demircan and C. Kahraman, “Operating System Selection Using Fuzzy Replacement Analysis and Analytic Hierarchy Process,” International Journal of Production Economics, Vol. 97, 2005, pp. 89-117.
[27]	F. Tu¨ysu¨ z, and C. Kahraman, “Project Risk Evaluation Using a Fuzzy Analytic Hierarchy Process: An Applica-tion to Information Technology Projects,” International Journal of Intelligent Systems, Vol. 21, No. 6, 2006, pp. 559-584.
[28]	K. J. Zhu, Y. Jing and D. Y. Chang, “A Discussion on Extent Analysis Method and Application of Fuzzy AHP,” European Journal of Operational Research, Vol. 116, 1999, pp. 450-456.
[29]	S. Malagoli, C. A. Magni and G. Mastroleo, “The Use of Fuzzy Logic and Expert Systems for Rating and Pricing Firms,” Social Science Research Network, Vol. 33, No. 11, 2007, pp. 77-120.
[30]	E. Turban, J. E. Aronson and T. P. Liang, “Decision Support Systems and Intelligent Systems,” 7th Edition, Prentice Hall of India, New Delhi, 2007.
[31]	Y. M. Wang, Y. Luo and Z. Hua, “On the Extent Analysis Method for Fuzzy AHP and its Applications,” European Journal of Operational Research, Vol. 186, 2008, pp. 735-747.