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