Journal
APPLIED MATHEMATICAL MODELLING
Volume 37, Issue 9, Pages 6425-6436Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2013.01.015
Keywords
Soft set theory; Decision making; IFSM; Level soft set; Aggregation; Algorithm
Funding
- NNSF of China [61073117]
- Academic Innovation Team of Anhui University [KJTD001B]
- Provincial Nature Science Research Key Project for Colleges and Universities of Anhui Province
- Project of Graduate Academic Innovation of Anhui University [yfc100017, yfc100018]
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Soft set theory was originally proposed by Molodtsov as a general mathematical tool for dealing with uncertainty in 1999. Recently, researches of decision making based on soft sets have got some progress, but few people consider multi-experts situation. As such, this paper discusses multi-experts group decision making problems. Firstly, we give a concept of intuitionistic fuzzy soft matrix (IFSM) and prove some relevant properties of IFSM. Then, an adjustable approach is presented by means of median level soft set and p-quantile level soft set for dealing with decision making problems based on IFSM. Thirdly, we study aggregation methods of IFSM, give two kinds of aggregation operators and methods that how to determine experts' weights under different situation with programming models, four corresponding algorithms have been proposed, too. Finally, a practical example has been demonstrated the reasonability and efficiency of these new algorithms. (C) 2013 Elsevier Inc. All rights reserved.
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