Expected Values of Aggregation Operators on Cubic Trapezoidal Fuzzy Number and its Application to Multi-Criteria Decision Making Problems

Year 2018, Issue: 22, 51 - 65, 26.03.2018

Aliya Fahmi Saleem Abdullah Fazli Amin

Abstract

In this paper, we define
trapezoidal cubic fuzzy numbers and their operational laws. Started on these
operational laws, each collection operators, with trapezoidal cubic fuzzy
weighted arithmetic averaging operator and weighted geometric averaging
operator are purposed. Expected values, score function, and accuracy function
of trapezoidal cubic fuzzy numbers are defined. Overcoming on these, mindful of
trapezoidal cubic fuzzy multi-criteria decision making program is proposed. A
delineation illustration example is given to exhibit the sound judgment and
openness of the procedure.

Keywords

Trapezoidal cubic fuzzy number, aggregation operators, multi-criteria decision making

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