Trapezoidal neutrosophic aggregation operators and their application to the multi-attribute decision-making process

Document Type: Article

Authors

1 Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University, Midnapore 721102, India

2 Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University, Midnapore 721102, India

3 Department of Mathematics, Faculty of Sciences, C ankr Karatekin University, C ankr, Turkey

4 School of Business, Central South University, Changsha 410083, PR China

Abstract

The aim of this paper is to introduce interval trapezoidal neutrosophic set which is a combination
of trapezoidal fuzzy numbers and interval neutrosophic set. The paper presents some operational
rules, the score and accuracy functions of interval trapezoidal neutrosophic numbers. Then, some
aggregating operators under interval trapezoidal neutrosophic information which are called interval
trapezoidal neutrosophic number weighted arithmetic averaging (ITNNWAA) operator and interval
trapezoidal neutrosophic number weighted geometric averaging (ITNNWGA) operator, are proposed,
and their properties are investigated in detail. Furthermore, based on these operators a multi-attribute
decision making method is developed. Finally, a numerical example is presented to illustrate the
application and effectiveness of the proposed method.

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