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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Weize Wang Xinwang Liu |
| Copyright Year | 2012 |
| Description | Author affiliation: School of Economics and Management, Southeast University, Nanjing, Jiangsu 210096, China (Weize Wang; Xinwang Liu) |
| Abstract | The notion of interval-valued intuitionistic fuzzy set (IVIFS) is a generalization of that of Atanassov's intuitionistic fuzzy set (AIFS). The fundamental characteristic of IVIFS is that the values of its membership function and non-membership function are intervals rather than exact numbers. In this article, we develop some interval-valued intuitionistic fuzzy geometric operators based on Einstein operations, such as the interval-valued intuitionistic fuzzy Einstein weighted geometric $(IVIFWG^{ε})$ operator, interval-valued intuitionistic fuzzy Einstein ordered weighted geometric $(IVIFOWG^{ε})$ operator and interval-valued intuitionistic fuzzy Einstein hybrid geometric $(IVIFHWG^{ε})$ operator, which are the generalizations of the geometric aggregation operators based on AIFSs. Moreover, we establish various properties of these operators. |
| Starting Page | 604 |
| Ending Page | 608 |
| File Size | 168760 |
| Page Count | 5 |
| File Format | |
| ISBN | 9781467300254 |
| e-ISBN | 9781467300247 |
| DOI | 10.1109/FSKD.2012.6234364 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2012-05-29 |
| Publisher Place | China |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Fuzzy sets Atanassov's intuitionistic fuzzy set (AIFS) Decision making geometric aggregation operator interval-valued intuitionistic fuzzy set (IVIFS) Educational institutions Vectors Fuzzy set theory Einstein t-norm Cybernetics Fuzzy systems |
| Content Type | Text |
| Resource Type | Article |
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