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

نویسندگان

1 Department of Mathematics, Faculty of Sciences, Cankr Karatekin University, Cankr, Turkey

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

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

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

doi
10.24200/sci.2018.51136.2024
چکیده

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