Abstract
In this paper, we define triangular cubic fuzzy numbers and their operational laws. Originated on these operational laws, approximately aggregation operators, with triangular cubic fuzzy weighted arithmetic averaging operator and weighted geometric averaging operator are suggested. Expected values, score function and accuracy function of triangular cubic fuzzy numbers are defined. Founded on these, an amicable of triangular cubic fuzzy multi-criteria decision making method is proposed. By these aggregation operators, criteria values are aggregated and integrated triangular cubic fuzzy numbers of alternatives are conquered. By relating score function and accuracy function values of integrated fuzzy numbers, a positioning of the entire option set can be accomplished. An example is given to appear the achievability and convenience of the process.
Highlights
There are a little opinion multi-criteria decision making (MCDM) problems in extensive sunshine commercial aspects
A few aggregation operators of triangular cubic fuzzy numbers are described, the expected values, the score function and accuracy function of triangular cubic fuzzy numbers are defined and a simple ordering method of triangular cubic fuzzy numbers is proposed and used in multi-criteria decision making based on the score function and the accuracy function
Triangular cubic fuzzy number, Aggregation operators on cubic triangular fuzzy numbers and Expected values of cubic triangular fuzzy numbers and comparison between them, Multi-criteria decision making method based on cubic triangular fuzzy numbers
Summary
There are a little opinion multi-criteria decision making (MCDM) problems in extensive sunshine commercial aspects. For multi-criteria selection-making problems, in which the substantial on standards' weight coefficients is disjointed and the standards' features are intuitionistic fuzzy components, Aliya Fahmi et al.: Expected Values of Aggregation Operators on Cubic Triangular Fuzzy Number and Its. Application to Multi-Criteria Decision Making Problems the TOPSIS system and the VIKOR method are suggested in [20]. A few aggregation operators of triangular cubic fuzzy numbers are described, the expected values, the score function and accuracy function of triangular cubic fuzzy numbers are defined and a simple ordering method of triangular cubic fuzzy numbers is proposed and used in multi-criteria decision making based on the score function and the accuracy function.
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