On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
New operations defined over the intuitionistic fuzzy sets
Fuzzy Sets and Systems
Handling multicriteria fuzzy decision-making problems based on vague set theory
Fuzzy Sets and Systems
Multicriteria fuzzy decision-making problems based on vague set theory
Fuzzy Sets and Systems
Some operations on intuitionistic fuzzy sets
Fuzzy Sets and Systems
An overview of methods for determining OWA weights: Research Articles
International Journal of Intelligent Systems
Generalized aggregation operators for intuitionistic fuzzy sets
International Journal of Intelligent Systems
Fuzzy Sets and Systems
Generalized Bonferroni mean operators in multi-criteria aggregation
Fuzzy Sets and Systems
Induced generalized intuitionistic fuzzy operators
Knowledge-Based Systems
On averaging operators for Atanassov's intuitionistic fuzzy sets
Information Sciences: an International Journal
Continuous generalized OWA operator and its application to decision making
Fuzzy Sets and Systems
Expert Systems with Applications: An International Journal
Expert Systems with Applications: An International Journal
Generalized power aggregation operators and their applications in group decision making
Computers and Industrial Engineering
Hesitant fuzzy geometric Bonferroni means
Information Sciences: an International Journal
Intuitionistic Fuzzy Aggregation Operators
IEEE Transactions on Fuzzy Systems
Prioritized intuitionistic fuzzy aggregation operators
Information Fusion
Hi-index | 12.05 |
Considering that there may exist some interactions between membership function and non-membership function of different intuitionistic fuzzy sets, we present some new operational laws from the probability point of view and give a geometric interpretation of the new operations. Based on which, a new class of generalized intuitionistic fuzzy aggregation operators are developed, including the generalized intuitionistic fuzzy weighted geometric interaction averaging (GIFWGIA) operator, the generalized intuitionistic fuzzy ordered weighted geometric interaction averaging (GIFOWGIA) operator and the generalized intuitionistic fuzzy hybrid geometric interaction averaging (GIFHGIA) operator. The properties of these new generalized aggregation operators are investigated. Moreover, approaches to multiple attributes decision making are given based on the generalized aggregation operators under intuitionistic fuzzy environment, and an example is illustrated to show the validity and feasibility of new approach. Finally, we give a systematic comparison between the work of this paper and that of other papers.