Generalized Cubic Intuitionistic Fuzzy Aggregation Operators Using t-Norm Operations and Their Applications to Group Decision-Making Process

2018 ◽  
Vol 44 (3) ◽  
pp. 2775-2794 ◽  
Author(s):  
Gagandeep Kaur ◽  
Harish Garg
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Aggregation Operators ◽  
Decision Making Process ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Aggregation

scholarly journals INTERVAL-VALUED INTUITIONISTIC FUZZY ORDERED PRECISE WEIGHTED AGGREGATION OPERATOR AND ITS APPLICATION IN GROUP DECISION MAKING

2014 ◽  
Vol 20 (4) ◽  
pp. 648-672 ◽  
Author(s):  
Wei Zhou ◽  
Jian Min He
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Scale Invariance ◽  
Group Decision ◽  
Aggregation Operator ◽  
Aggregation Operators ◽  
Weighted Averaging ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Aggregation ◽  
Interval Valued

An important research topic related to the theory and application of the interval-valued intuitionistic fuzzy weighted aggregation operators is how to determine their associated weights. In this paper, we propose a precise weight-determined (PWD) method of the monotonicity and scale-invariance, just based on the new score and accuracy functions of interval-valued intuitionistic fuzzy number (IIFN). Since the monotonicity and scale-invariance, the PWD method may be a precise and objective approach to calculate the weights of IIFN and interval-valued intuitionistic fuzzy aggregation operator, and a more suitable approach to distinguish different decision makers (DMs) and experts in group decision making. Based on the PWD method, we develop two new interval-valued intuitionistic fuzzy aggregation operators, i.e. interval-valued intuitionistic fuzzy ordered precise weighted averaging (IIFOPWA) operator and interval-valued intuitionistic fuzzy ordered precise weighted geometric (IIFOPWG) operator, and study their desirable properties in detail. Finally, we provide an illustrative example.

INTUITIONISTIC FUZZY DENSITY-BASED AGGREGATION OPERATORS AND THEIR APPLICATIONS TO GROUP DECISION MAKING WITH INTUITIONISTIC PREFERENCE RELATIONS

2014 ◽  
Vol 22 (01) ◽  
pp. 145-169 ◽  
Author(s):  
HUA ZHAO ◽  
ZESHUI XU ◽  
ZEQING YAO
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Aggregation Operators ◽  
Fuzzy Information ◽  
Information Distribution ◽  
Preference Relations ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Aggregation

In fuzzy environments, some operators have been developed for aggregating intuitionistic fuzzy information which is expressed in pairs of the membership degrees and the non-membership degrees. However, the existing intuitionistic fuzzy aggregation operators cannot consider and reflect the density of intuitionistic fuzzy information distribution. To solve the issue, in this paper, we first develop some intuitionistic fuzzy density-based aggregation operators. Then by combining the developed operators with the existing intuitionistic fuzzy aggregation operators, we put forward some synthesized intuitionistic fuzzy aggregation operators. Furthermore, we utilize the synthesized intuitionistic fuzzy aggregation operators to develop an approach to group decision making based on intuitionistic preference relations, and illustrate our approach with a practical example of the evaluation of new medicines.

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