Multicriteria decision making under uncertainty: An advanced ordered weighted averaging operator for planning electric power systems

2012 ◽  
Vol 25 (1) ◽  
pp. 72-81 ◽  
Author(s):  
M.Q. Suo ◽  
Y.P. Li ◽  
G.H. Huang
Keyword(s):  
Decision Making ◽  
Power Systems ◽  
Electric Power ◽  
Multicriteria Decision Making ◽  
Electric Power Systems ◽  
Weighted Averaging ◽  
Decision Making Under Uncertainty ◽  
Ordered Weighted Averaging ◽  
Averaging Operator ◽  
Ordered Weighted Averaging Operator

A LINGUISTIC AGGREGATION OPERATOR INCLUDING WEIGHTS FOR LINGUISTIC VALUES AND EXPERTS IN GROUP DECISION MAKING

2013 ◽  
Vol 21 (06) ◽  
pp. 927-943 ◽  
Author(s):  
ZHENG PEI ◽  
LI ZOU ◽  
LIANGZHONG YI
Keyword(s):  
Decision Making ◽  
Aggregation Operator ◽  
Point Of View ◽  
Weighted Averaging ◽  
Ordered Weighted Averaging ◽  
Averaging Operator ◽  
Aggregation Processes ◽  
Decision Making Problem ◽  
Ordered Weighted Averaging Operator ◽  
Linguistic Decision Making

Different linguistic aggregation methods have been proposed and applied in the linguistic decision making problems. Generally, weights for experts or criteria are considered in linguistic aggregation processes. In this paper, we provide a method to discovery new forms to compute weights and new interpretations in the linguistic ordered weighted averaging operator. In linguistic decision analysis, it can be noticed that some of initial linguistic values used by experts have priority over others linguistic values in evaluation processes. We formalize the priority over initial linguistic values as weights for linguistic values, by considering weights for linguistic values as well as weights for experts, we provide an alternative method to discovery weights information of the linguistic ordered weighted averaging operator, its properties show that such linguistic aggregation operator is extensions of the 2-tuple arithmetic mean, the 2-tuple weighted aggregation operator and the 2-tuple ordered weighted averaging operator. By an illustrative example, we compare the linguistic aggregation operator with the 2-tuple weighted aggregation operator and the 2-tuple ordered weighted averaging operator in a decision making problem. From the practical point of view, we provide an optimization model to obtain such weights information in linguistic aggregation processes, examples show the linguistic aggregation operator as an alternative linguistic ordered weighted averaging operator in practice.

scholarly journals Generalized complex q-rung orthopair fuzzy Einstein averaging aggregation operators and their application in multi-attribute decision making

2020 ◽  
Author(s):  
Peide Liu ◽  
Zeeshan Ali ◽  
Tahir Mahmood
Keyword(s):  
Decision Making ◽  
Detailed Comparison ◽  
Weighted Averaging ◽  
Membership Degree ◽  
Ordered Weighted Averaging ◽  
Averaging Operator ◽  
Special Cases ◽  
Generalized Complex ◽  
Multi Attribute Decision Making ◽  
Ordered Weighted Averaging Operator

Abstract The recently proposed q-rung orthopair fuzzy set, which is characterized by a membership degree and a non-membership degree, is effective for handling uncertainty and vagueness. This paper proposes the concept of complex q-rung orthopair fuzzy sets (Cq-ROFS) and their operational laws. A multi-attribute decision making (MADM) method with complex q-rung orthopair fuzzy information is investigated. To aggregate complex q-rung orthopair fuzzy numbers, we extend the Einstein operations to Cq-ROFSs and propose a family of complex q-rung orthopair fuzzy Einstein averaging operators, such as the complex q-rung orthopair fuzzy Einstein weighted averaging operator, the complex q-rung orthopair fuzzy Einstein ordered weighted averaging operator, the generalized complex q-rung orthopair fuzzy Einstein weighted averaging operator, and the generalized complex q-rung orthopair fuzzy Einstein ordered weighted averaging operator. Desirable properties and special cases of the introduced operators are discussed. Further, we develop a novel MADM approach based on the proposed operators in a complex q-rung orthopair fuzzy context. Numerical examples are provided to demonstrate the effectiveness and superiority of the proposed method through a detailed comparison with existing methods.

Ranking Alternatives Based on Intuitionistic Preference Relation

2014 ◽  
Vol 13 (06) ◽  
pp. 1259-1281 ◽  
Author(s):  
Zeshui Xu
Keyword(s):  
Decision Making ◽  
Preference Relation ◽  
Weighted Averaging ◽  
Fuzzy Decision Making ◽  
Ranking Methods ◽  
Ordered Weighted Averaging ◽  
Intuitionistic Fuzzy ◽  
Averaging Operator ◽  
Ordered Weighted Averaging Operator ◽  
Geometric Operator

In fuzzy decision-making environments, intuitionistic preference relation is highly useful in depicting uncertainty and vagueness of preference information provided by the decision maker. In the process of decision making with intuitionistic preference relation, the most crucial issue is how to derive the ranking of alternatives from intuitionistic preference relation. In this article, we investigate the ranking methods of alternatives on the basis of intuitionistic preference relation from various angles, which are based on the intuitionistic fuzzy ordered weighted averaging operator, the intuitionistic fuzzy ordered weighted geometric operator, the uncertain averaging operator, the uncertain geometric operator, the uncertain ordered weighted averaging operator, and the uncertain ordered weighted geometric operator, respectively, and study their desirable properties. Moreover, we give a numerical analysis of the developed ranking methods by a practical example, and finally discuss further research directions.

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