On Geometric Aggregation over Interval-Valued Intuitionistic Fuzzy Information

Authors:
Zeshui Xu;Jian Chen
Affiliations:
Tsinghua University, Beijing 100084, China;Tsinghua University, Beijing 100084, China
Venue:
FSKD '07 Proceedings of the Fourth International Conference on Fuzzy Systems and Knowledge Discovery - Volume 02
Year:
2007

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Abstract

The notion of interval-valued intuitionistic fuzzy set (IVIFS) was introduced by Atanassov and Gargov [1] as a generalization of an intuitionistic fuzzy set [2]. The fundamental characteristic of IVIFS is that the values of its membership function and non-membership function are intervals rather than exact numbers. Some operators have been proposed for aggregating intuitionistic fuzzy sets. However, it seems that there is little investigation on aggregation techniques for dealing with interval-valued intuitionistic fuzzy information. In this work, we develop some interval-valued intuitionistic fuzzy geometric operators, such as the interval-valued intuitionistic fuzzy ordered weighted geometric (IIFOWG) operator, and interval-valued intuitionistic fuzzy hybrid geometric (IIFHG) operator, etc., which are the generalizations of the geometric aggregation operators based on intuitionistic fuzzy sets [3]. Then we apply the developed operators to solve a multiple attribute decision-making problem involving the prioritization of a set of information technology improvement projects.