A linear assignment method for multiple-criteria decision analysis with interval type-2 fuzzy sets

Applied Soft Computing Journal

Volumn 13, Issue 5, 2013, Pages 2735-2748

  Chen, Ting Yu ^a  

^a CHANG GUNG UNIVERSITY   (Taiwan)

Author keywords

Interval type 2 fuzzy set; Interval type 2 trapezoidal fuzzy number; Linear assignment method; Multiple criteria decision analysis; Signed distance

Indexed keywords

COMPUTATION THEORY; DECISION MAKING; FUZZY RULES; FUZZY SETS; FUZZY SYSTEMS; OPERATIONS RESEARCH; SITE SELECTION;

INTERVAL TYPE-2 FUZZY SETS; INTERVAL TYPE-2 TRAPEZOIDAL FUZZY NUMBERS; LINEAR ASSIGNMENT; MULTIPLE CRITERIA DECISION ANALYSIS; SIGNED DISTANCE;

DECISION THEORY;

EID: 84885662323     PISSN: 15684946     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asoc.2012.11.013     Document Type: Article

References (44)

1. S. Abbasbandy, B. Asady, Ranking of fuzzy numbers by sign distance, Information Sciences 176(16) (2006) 2405-2416. (Pubitemid 43795487)
2. J. Aisbett, J.T. Rickard, D. Morgenthaler, Multivariate modeling and type-2 fuzzy sets, Fuzzy Sets and Systems 163 (1) (2011) 78-95.
3. M. Amiri, M. Zandieh, R. Soltani, B. Vahdani, A hybrid multi-criteria decision-making model for firms competence evaluation, Expert Systems with Applications 36 (10) (2009)12314-12322.
4. M. Bashiri, H. Badri, A group decision making procedure for fuzzy interactive linear assignment programming, Expert Systems with Applications 38 (5) (2011)5561-5568.
5. M. Bashiri, H. Badri, T.H. Hejazi, Selecting optimum maintenance strategy by fuzzy interactive linear assignment method, Applied Mathematical Modelling 35 (1)(2011) 152-164.
6. J.J. Bernardo, J.M. Blin, A programming model of consumer choice among multi-attributed brands, Journal of Consumer Research 4 (2) (1977) 111-118.
7. A. Bigand, O. Colot, Fuzzy filter based on interval-valued fuzzy sets for image filtering, Fuzzy Sets and Systems 161 (1) (2010) 96-117.
8. H. Bustince, E. Barrenechea, M. Pagola, J. Fernandez, Interval-valued fuzzy sets constructed from matrices: application to edge detection, Fuzzy Sets and Systems 160 (13) (2009)1819-1840.
9. N.B. Chang, G. Parvathinathan, J.B. Breeden, Combining GIS with fuzzy multicriteria decision-making for landfill siting in a fast-growing urban region, Journal of Environmental Management 87 (1) (2008) 139-153. (Pubitemid 351147074)
10. S.-J. Chen, Measure of similarity between interval-valued fuzzy numbers for fuzzy recommendation process based on quadratic-mean operator, Expert Systems with Applications 38 (3) (2011) 2386-2394.
11. T.-Y. Chen, Multi-criteria decision-making method with leniency reduction based on interval-valued fuzzy sets, Journal of the Chinese Institute of Industrial Engineers 28 (1) (2011) 1-19.
12. T.-Y. Chen, Optimistic and pessimistic decision making with dissonance reduction using interval-valued fuzzy sets, Information Sciences 181 (3) (2011) 479-502.
13. T.-Y. Chen, Signed distanced-based TOPSIS method for multiple criteria decision analysis based on generalized interval-valued fuzzy numbers, International Journal of Information Technology and Decision Making 10 (6) (2011) 1131-1159.
14. T.-Y. Chen, Multiple criteria group decision-making with generalized interval-valued fuzzy numbers based on signed distances and incomplete weights, Applied Mathematical Modelling 36 (7) (2012)3029-3052.
15. T.-Y. Chen, A signed-distance-based approach to importance assessment and multi-criteria group decision analysis based on interval type-2 fuzzy set, Knowledge and Information Systems (2012), http://dx.doi.org/10.1007/s10115-012- 0497-6.
16. S.-J. Chen, S.-M. Chen, Fuzzy risk analysis based on measures of similarity between interval-valued fuzzy numbers, Computers and Mathematics with Applications 55 (8) (2008)1670-1685. (Pubitemid 351375371)
17. S.-M. Chen, J.-H. Chen, Fuzzy risk analysis based on similarity measures between interval-valued fuzzy numbers and interval-valued fuzzy number arithmetic operators, Expert Systems with Applications 36 (3) (2009) 6309-6317.
18. S.-M. Chen, L.-W. Lee, Fuzzy multiple attributes group decision-making based on the interval type-2 TOPSIS method, Expert Systems with Applications 37 (4) (2010) 2790-2798.
19. L.-H. Chen, L.-Y. Ouyang, Fuzzy inventory model for deteriorating items with permissible delay in payment, Applied Mathematics and Computation 182 (1) (2006) 711-726. (Pubitemid 44781036)
20. S.-M. Chen, M.-W. Yang, L.-W. Lee, S.W. Yang, Fuzzy multiple attributes group decision-making based on ranking interval type-2 fuzzy sets, Expert Systems with Applications 39 (5) (2012) 5295-5308.
21. J. Chiang, Fuzzy linear programming based on statistical confidence interval and interval-valued fuzzy set, European Journal of Operational Research 129 (1) (2001) 65-86. (Pubitemid 32071223)
22. G. Deschrijver, Arithmetic operators in interval-valued fuzzy set theory, Information Sciences 177 (14) (2007) 2906-2924. (Pubitemid 46660010)
23. C.L. Hwang, K. Yoon, Multiple Attribute Decision Making: Methods and Applications, Springer-Verlag, Berlin/Heidelberg/New York, 1981.
24. A. Jahan, M.Y. Ismail, F. Mustapha, S.M. Sapuan, Material selection based on ordinal data, Materials and Design 31 (7) (2010) 3180-3187.
25. J.J. Kao, H.Y. Lin, A vector-based spatial model for landfill siting, Journal of Hazardous Materials 58 (1-3) (1998)3-14.
26. C. Leal-Ramírez, O. Castillo, P. Melin, A. Rodríguez- Díaz, Simulation of the bird age-structured population growth based on an interval type-2 fuzzy cellular structure, Information Sciences 181 (3) (2011) 519-535.
27. H.Y. Lin, J.J. Kao, Enhanced spatial model for landfill siting analysis, Journal of Environmental Engineering 125 (9) (1999) 845-851.
28. C.-J. Lin, U.-P. Wen, A labeling algorithm forthe fuzzy assignment problem, Fuzzy Sets and Systems 142 (3) (2004) 373-391.
29. H.-T. Liu, W.-K. Wang, An integrated fuzzy approach for provider evaluation and selection in third-party logistics, Expert Systems with Applications 36 (3) (2008) 4387-4398.
30. H.W. Lu, G.H. Huang, L. He, Development of an interval-valued fuzzy linear-programming method based on infinite a-cuts for water resources management, Environmental Modelling and Software 25 (3) (2010) 354-361.
31. J.M. Mendel, Type-2 fuzzy sets and systems: an overview, IEEE Computational Intelligence Magazine 2 (1) (2007) 20-29.
32. H. Min, X. Wu, A multiobjective model forthe dynamic location of landfills, Location Science 3 (3) (1995) 143-166.
33. R. Sambuc, Fonctions Φ-Floues, Application a l'aide au Diagnostic en Pathologie Thyroidienne, These de Doctorat en Medicine, University of Marseille, France, 1975.
34. B. Vahdani, H. Hadipour, Extension of the ELECTRE method based on interval-valued fuzzy sets, Soft Computing 15 (3) (2011) 569-579.
35. B. Vahdani, A.H.K. Jabbari, V. Roshanaei, M. Zandieh, Extension of the ELECTRE method for decision-making problems with interval weights and data, International Journal of Advanced Manufacturing Technology 50 (5-8) (2010) 793-800.
36. G. Wang, X. Li, The applications of interval-valued fuzzy numbers and interval-distribution numbers, Fuzzy Sets and Systems 98 (3) (1998) 331-335.
37. G. Wang, L. Qin, G. Li, L. Chen, Landfill site selection using spatial information technologies and AHP: a case study in Beijing, China, Journal of Environmental Management 90 (8)(2009)2414-2421.
38. W. Wang, X. Liu, Y. Qin, Multi-attribute group decision making models under interval type-2 fuzzy environment, Knowledge-Based Systems 30 (2012) 121-128.
39. S.-H. Wei, S.-M. Chen, Fuzzy risk analysis based on interval-valued fuzzy numbers, Expert Systems with Applications 36 (2) (2009) 2285-2299.
40. A.L. White, S.J. Ratick, Risk, compensation, and regional equity in locating hazardous facilities, Papers in Regional Science 67 (1) (1989) 29-42.
41. D. Wu, J.M. Mendel, Uncertainty measures for interval type-2 fuzzy sets, Information Sciences 177 (23) (2007) 5378-5393. (Pubitemid 47409992)
42. J.S. Yao, K. Wu, Ranking fuzzy numbers based on decomposition principle and signed distance, Fuzzy Sets and Systems 116 (2) (2000) 275-288.
43. L.A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning-I, Information Sciences 8 (3) (1975) 199-249.
44. W. Zeng, P. Guo, Normalized distance, similarity measure, inclusion measure and entropy of interval-valued fuzzy sets and their relationship, Information Sciences 178 (5) (2008)1334-1342. (Pubitemid 350266638)