Interval neutrosophic prioritized OWA operator and its application to multiple attribute decision making

Journal of Systems Science and Complexity

Volumn 29, Issue 3, 2016, Pages 681-697

  Liu, Peide ^a,b   Wang, Yumei ^b  

^a CIVIL AVIATION UNIVERSITY OF CHINA   (China)

^b SHANDONG UNIVERSITY OF FINANCE AND ECONOMICS   (China)

Author keywords

interval neutrosophic number; Multiple attribute decision making; prioritized OWA operator

Indexed keywords

COMPARATIVE METHODS; INTERVAL NEUTROSOPHIC NUMBER; ITS APPLICATIONS; MULTIPLE ATTRIBUTE DECISION MAKING; OPERATIONAL LAWS; ORDERED WEIGHTED AGGREGATIONS; ORDERED WEIGHTED AVERAGE; OWA OPERATORS;

DECISION MAKING;

EID: 84930532138     PISSN: 10096124     EISSN: 15597067     Source Type: Journal    
DOI: 10.1007/s11424-015-4010-7     Document Type: Article

References (23)

1. Zadeh L A, Fuzzy sets, Information and Control, 1965, 8: 338–356.
2. Chu T C, A fuzzy number interval arithmetic based fuzzy MCDM algorithm, International Journal of Fuzzy Systems, 2002, 4: 867–872.
3. Xu Z S, Study on method for triangular fuzzy number-based multi-attribute decision making with preference information on alternatives, Systems Engineering and Electronics, 2002, 24: 9–12.
4. Wang J Q, Programming method of fuzzy group multiple criteria decision making with incomplete information, Systems Engineering and Electronics, 2004, 26: 1604–1608.
5. Wang J Q, Overview on fuzzy multi-criteria decision making approach, Control and Decision, 2008, 23: 601–606.
6. Atanassov K T, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 1986, 20: 87–96.
7. Li D F, The GOWA operator based approach to multi-attribute decision making using intuitionistic fuzzy sets, Mathematical and Computer Modelling, 2011, 53: 1182–1196.
8. Xu Z S and Yager R R, Intuitionistic fuzzy bonferroni means, IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics, 2011, 41: 568–578.
9. Wei G W, Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making, Applied Soft Computing, 2010, 10: 423–431.
10. Atanassov K T and Gargov G, Interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 1989, 3: 343–349.
11. Atanassov K T, Operators over interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 1994, 64: 159–174.
12. Smarandache F, A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logic, American Research Press, Rehoboth, 1999.
13. Wang H, Smarandache F, and Zhang R Y, Sunderraman, Single valued neutrosophic sets, Proc. of 10th 476 Int. Conf. on Fuzzy Theory and Technology, Salt Lake City, 477 Utah, 2005.
14. Ye J, Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment, International Journal of General Systems, 2013, 42(4): 386–394.
15. Wang H, Smarandache F, and Zhang Y Q, et al., Interval neutrosophic sets and logic: Theory and applications in computing, Hexis, Phoenix, AZ, 2005.
16. Ye J, Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making, Journal of Intelligent & Fuzzy Systems, 2014, 24: 165–172.
17. Yager R R, Prioritized aggregated operators, International Journal of Approximate Reasoning, 2008, 48(1): 263–27.
18. Yager R R, Prioritized OWA aggregated, Fuzzy Optimization Decision Making, 2009, 10(8): 245–262.
19. Robinson A, Non-Standard Analysis, North-Holland Pub. Co., 1966.
20. O’Hagan M, Aggregating template or rule antecedents in real-time expert systems with fuzzy set logic, Proceedings of the 22nd Annual IEEE Asilomar Conference on Signals, Systems and Computers, 1988, 681–689.
21. O’Hagan M, Using maximum entropy-ordered weighted average to construct a fuzzy neuron, Proceedings of the 24th Annual IEEE Asilomar Conference on Signals, Systems and Computers, 1990, 618–623.
22. Herrera F, Herrera-Viedma E, and Chiclana F, Multi-person decision-making based on multiplicative preference relations, European Journal of Operational Research, 2001, 129: 372–385.
23. Wang Y and Xu Z S, A new method of giving OWA weights, Mathematics in Practice and Theory, 2008, 38(3): 51–61.