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Neural Computing and Applications

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01-12-2014 | Original Article

An improved PROMETHEE II method based on Axiomatic Fuzzy Sets

Authors: Xiaojuan Tian, Xiaodong Liu, Lidong Wang

Published in: Neural Computing and Applications | Issue 7-8/2014

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Abstract

This paper proposes an improved Preference Ranking Organization Method for Enrichment Evaluations II method based on Axiomatic Fuzzy Sets (AFS). With AFS, the preference functions of alternatives can be easily decided by the ranking and difference degrees of performance values on each attribute. Furthermore, the method considers the objective weights of importance of the attributes as well as the subjective preferences of the decision maker to decide the integrated weights of importance of the attributes. In case study, the evaluation of the industrial economic benefit of 16 provinces or municipalities of China is used to demonstrate the performance of the proposed method. The ranking results show that the whole evaluating procedure is feasible and effective.

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Koele P (1995) Multiple attribute decision making: an introduction. Sage Publications, Thousand Oaks

Hwang CL, Yoon K (1981) Multiple attribute decision making: methods and applications. Springer, New YorkCrossRefMATH

Peng Y, Kou G, Wang G, Shi Y (2011) FAMCDM: a fusion approach mcdm methods to rank multiclass classification algorithms. Omega Int J Manag 39:677–689CrossRef

Georgopoulou E, Sarafidis Y, Diakoulaki D (1998) Design and implementation of a group DSS for sustaining renewable energies exploitation. Eur J Oper Res 109:483–500CrossRefMATH

Behzadian M, Kazemzadeh RB, Albadvi A, Aghdasi M (2010) PROMETHEE: a comprehensive literature review on methodologies and applications. Eur J Oper Res 200:198–215CrossRefMATH

Rao RV, Patel BK (2010) Decision making in the manufacturing environment using an improved PROMETHEE method. Int J Prod Res 48(16):4665–4682CrossRefMATH

Anand G, Kodali R (2008) Selection of lean manufacturing systems using the PROMETHEE. J Model Manag 3(1):40–70CrossRef

Roozbahani A, Zahraie B, Tabesh M (2012) PROMETHEE with precedence order in the criteria (PPOC) as a new group decision making aid: an application in urban water supply management. Water Resour Manag 26:3581–3599CrossRef

Hajkowicz S, Higgins A (2008) A comparison of multiple criteria analysis techniques for water resource management. Eur J Oper Res 184(1):255–265CrossRefMATH

10.

Albadvi A, Chaharsooghi SK, Esfahanipour A (2007) Decision making in stock trading: an application of PROMETHEE. Eur J Oper Res 177:673–683CrossRefMATH

11.

Baourakis G, Doumpos M, Kalogeras N, Zopounidis C (2002) Multicriteria analysis and assessment of financial viability of agribusinesses: the case of marketing co-operatives and juice-producing companies. Agribusiness 18(4):543–558CrossRef

12.

Mavrotas G, Diakoulaki D, Caloghirou Y (2006) Project prioritization under policy restrictions: a combination of MCDA with 0–1 programming. Eur J Oper Res 171:296–308CrossRefMATHMathSciNet

13.

Elevli B, Demirci A (2004) Multicriteria choice of ore transport system for an underground mine: application of PROMETHEE methods. J South Afr Inst Min Metall 104(5):251–256

14.

Liu PD, Guan ZL (2009) Evaluation research on the quality of the railway passenger service based on the linguistic variables and the improved PROMETHEE-II method. J Comput 4(3):265–270

15.

Fernndez-Castro AS, Jimnez M (2005) PROMETHEE: an extension through fuzzy mathematical programming. J Oper Res Soc 56:119–122CrossRef

16.

Parreiras RO, Vasconcelos JA (2007) A multiplicative version of PROMETHEE II applied to multiobjective optimization problems. Eur J Oper Res 183:729–740CrossRefMATH

17.

Lim MCH, Ayoko GA, Morawska L, Ristovski ZD, Jayaratne ER (2007) Influence of fuel composition on polycyclic aromatic hydrocarbon emissions from a fleet of in-service passenger cars. Atmos Environ 41:150–160CrossRef

18.

Brans JP, Vincke P (1985) A preference ranking organisation method: the PROMETHEE method for MCDM. Manag Sci 31(6):647–656CrossRefMATHMathSciNet

19.

Brans JP, Vincke P, Mareschal B (1986) How to select and how to rank projects: the PROMETHEE method. Eur J Oper Res 24(2):228–238CrossRefMATHMathSciNet

20.

Brans JP, Mareschal B (2005) PROMETHEE methods in multiple criteria decision analysis: state of the art surveys. Chapter 5:163–195

21.

Brans JP, Mareschal B (1994) The PROMCALC and GAIA decision support system for MCDA. Decis Support Syst 12(4–5):297–310CrossRef

22.

Wang JJ, Yang DL (2007) Using a hybrid multi-criteria decision aid method for information systems outsourcing. Comput Oper Res 34(12):3691–3700CrossRefMATH

23.

Hyde K, Maier H, Colby C (2003) Incorporating uncertainty in the PROMETHEE MCDA method. J Multi Criteria Decis Anal 12:245–259CrossRef

24.

Salminen P, Hokkanen J, Lahdelma R (1998) Comparing multicriteria methods in the context of environmental problems. Eur J Oper Res 104:485–496CrossRefMATH

25.

Podvezko V, Podviezko A (2010) Dependence of multi-criteria evaluation result on choice of preference functions and their parameters. Technol Econ Dev Econ 16(1):143–158CrossRef

26.

Ma J, Fan ZP, Huang LH (1999) A subjective and objective integrated approach to determine attribute weights. Eur J Oper Res 112:397–404CrossRefMATH

27.

Chen TY, Li CH (2010) Determining objective weights with intuitionistic fuzzy entropy measures: a comparative analysis. Inf Sci 180:4207–4222CrossRef

28.

Huang YS, Fang W, Chen SH (2010) Assessment on operational risk of power grid enterprises based on entropy weight and improved grey relation analysis, 2010 Second International Workshop on Education Technology and Computer Science, 448–451

29.

Huang JW (2008) Combining entropy weight and TOPSIS method for information system selection, In Proceedings of the IEEE conference on cybernetics and intelligent systems, 1281–1284

30.

Lo YF, Wen MH (2010) A fuzzy-AHP based technique for the decision of design feature selection in massively multiplayer online role-playing game development. Expert Syst Appl 37:8685–8693CrossRef

31.

Chang DY (1996) Applications of the extent analysis method on fuzzy AHP. Eur J Oper Res 95:649–655CrossRefMATH

32.

Celik M, Er ID, Ozok AF (2009) Application of fuzzy extended AHP methodology on shipping registry selection: the case of Turkish maritime industry. Expert Syst Appl 36:190–198CrossRef

33.

Wang Y, Jung KA, Yeo GT, Chou Ch (2014) Selecting a cruise port of call location using the fuzzy-AHP method: a case study in East Asia. Tour Manag 42:262–270CrossRef

34.

Liu XD (1998) The fuzzy theory based on AFS algebras and AFS structure. J Math Anal Appl 217:459–478CrossRefMATHMathSciNet

35.

Liu XD (1998) The fuzzy sets and systems based on AFS structure EI algebra and EII algebra. Fuzzy Sets Syst 95:179–188CrossRefMATH

36.

Liu XD, Pedrycz W (2007) The development of fuzzy decision trees in the framework of Axiomatic Fuzzy Set logic. Appl Soft Comput 7(1):325–342CrossRef

37.

Liu XD, Liu WQ (2005) Credit rating analysis with AFS fuzzy logic. Lect Notes Comput Sci 3612:1198–1204CrossRef

38.

Ding R, Liu XD, Chen Y (2006) The fuzzy clustering algorithm based on AFS topology. Lect Notes Artif Intell 4223:89–98

39.

Li Y, Liu XD, Chen Y (2011) Selection of logistics center location using axiomatic fuzzy set and topsis methodology in logistics management. Expert Syst Appl 38:7901–7908CrossRef

40.

Tao LL, Chen Y, Liu XD (2012) An integrated multiple criteria decision making model applying Axiomatic Fuzzy Set theory. Appl Math Model 36:5046–5058CrossRefMATH

41.

Angelo DME, Liu XD (2013) The use of axiomatic fuzzy set theory in AHP and TOPSIS methodology to determine strategies priorities by SWOT analysis. Qual Quant 47:2671–2685CrossRef

42.

Liu XD, Pedrycz W (2009) Axiomatic fuzzy set theroy and its applications. Springer, HeidelbergCrossRef

43.

Liu XD, Pedrycz W, Chai TY, Song ML (2009) The development of fuzzy rough sets with the use of structures and algebras of Axiomatic Fuzzy Sets. IEEE Trans Knowl Data Eng 21(3):443–462CrossRef

44.

Wang YM, Luo Y (2010) Integration of correlations with standard deviations for determining attribute weights in multiple attribute decision making. Math Comput Model 51:1–12CrossRefMATHMathSciNet

45.

Liu XD, Feng XH, Pedrycz W (2012) Extraction of fuzzy rules from fuzzy decision trees: an axiomatic fuzzy sets (AFS) approach. Data Knowl Eng 84:1–25CrossRef

Title: An improved PROMETHEE II method based on Axiomatic Fuzzy Sets
Authors: Xiaojuan Tian
Xiaodong Liu
Lidong Wang
Publication date: 01-12-2014
Publisher: Springer London
Published in: Neural Computing and Applications / Issue 7-8/2014
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-014-1651-8

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