SOME NEW GENERALIZED AGGREGATION OPERATORS BASED ON CENTROID SINGLE VALUED TRIANGULAR NEUTROSOPHIC NUMBERS AND THEIR APPLICATIONS IN MULTI-ATTRIBUTE DECISION MAKING

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Published: 2017-03-10

Page: 63-84


MEMET ŞAHIN

Department of Mathematics, Gaziantep University, Gaziantep, Turkey.

ORHAN ECEMIŞ

Department of Computer Technology, Gaziantep University, Gaziantep, Turkey.

VAKKAS ULUÇAY *

Department of Mathematics, Gaziantep University, Gaziantep, Turkey.

ABDULLAH KARGIN

Department of Mathematics, Gaziantep University, Gaziantep, Turkey.

*Author to whom correspondence should be addressed.


Abstract

In this study, we define centroid single-valued triangular neutrosophic numbers for single-valued triangular neutrosophic numbers. Also we define a new relation which gives the distance between any two single-valued triangular neutrosophic numbers and we define score functions on this relation. We compare single-valued triangular neutrosophic numbers and centroid single-valued triangular neutrosophic numbers in terms of these new score functions. Later, we get new operators using some known operators on single-valued triangular neutrosophic numbers by generalizing them to centroid one-valued triangular neutrosophic numbers. By the help of these operators we find new solutions to multi-attribute decision making problems. We compare the results of these solutions with the results of the formerly used operators.

Keywords: Neutrosophic set, triangular neutrosophic numbers, centroid single-valued triangular neutrosophic numbers, geometric operators, decision making


How to Cite

ŞAHIN, M., ECEMIŞ, O., ULUÇAY, V., & KARGIN, A. (2017). SOME NEW GENERALIZED AGGREGATION OPERATORS BASED ON CENTROID SINGLE VALUED TRIANGULAR NEUTROSOPHIC NUMBERS AND THEIR APPLICATIONS IN MULTI-ATTRIBUTE DECISION MAKING. Asian Journal of Mathematics and Computer Research, 16(2), 63–84. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/823

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