Journal
TECHNOLOGICAL AND ECONOMIC DEVELOPMENT OF ECONOMY
Volume 22, Issue 2, Pages 177-193Publisher
VILNIUS GEDIMINAS TECH UNIV
DOI: 10.3846/20294913.2014.984253
Keywords
probability; OWA operator; intuitionistic fuzzy set; group decision making; A12; C44; C60; D81; D89
Categories
Funding
- MOE Project of Humanities and Social Sciences [14YJC910006]
- Zhejiang Province Natural Science Foundation [LQ14G010002]
- Statistical Scientific Key Research Project of China [2013LZ48]
- Key Research Center of Philosophy and Social Science of Zhejiang Province - Modern Port Service Industry and Creative Culture Research Center, Philosophy and Social Science Planning Projects of Zhejiang [14JDHY01YB]
- Projects in Science and Technique of Ningbo Municipal [2012B82003]
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.In this paper, we present the intuitionistic fuzzy generalized probabilistic ordered weighted averaging (IFGPOWA) operator. It is a new aggregation operator that uses generalized means in a unified model between the probability and the OWA operator. The main advantage of this new operator is that it is able to deal with probabilities (objective information) and ordered weighted averages (subjective information) in the same formulation. Moreover, it is also able to deal with uncertain environments that can be assessed with intuitionistic fuzzy numbers. Furthermore, it uses generalized means providing a very general formulation that includes a wide range of situations. We study some of its main properties and particular cases such as the generalized intuitionistic fuzzy ordered weighted averaging (GIFOWA) operator and intuitionistic fuzzy probabilistic ordered weighted averaging (IFPOWA) operator. We end the paper by applying the new operator to a group decision making problem concerning the selection of investments.
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