Operators on Single Valued Trapezoidal Neutrosophic Numbers and SVTN-Group Decision Making

• Published in: Neutrosophic sets and systems Vol. 22; pp. 131 - 150
• Main Author: Deli, Irfan
• Format: Journal Article
• Language: English
• Published: Neutrosophic Sets and Systems 01-11-2018; University of New Mexico
• Subjects: Decision theory; Fuzzy logic; Mathematical research; neutrosophic numbers; Single valued neutrosophic sets; SVTN-group decision making; SVTNnumbers; trapezoidal neutrosophic numbers
• ISSN: 2331-6055; 2331-608X
• DOI: 10.5281/zenodo.2160120

In this paper, we first introduce single valued trapezoidal neutrosophic (SVTN) numbers with their properties. We then define some operations and distances of the SVTN-numbers. Based on these new operations, we also define some aggregation operators, including SVTN-ordered weighted geometric operator, SVTN-hybrid geometric operator, SVTN-ordered weighted arithmetic operator and SVTN-hybrid arithmetic operator. We then examine the properties of these SVTN-information aggregation operators. By using the SVTN-weighted geometric operator and SVTN-hybrid geometric operator, we also define a multi attribute group decision making method, called SVTN-group decision making method. We finally give an illustrative example and comparative analysis to verify the developed method and to demonstrate its practicality and effectiveness.Keywords: Single valued neutrosophic sets, neutrosophic numbers, trapezoidal neutrosophic numbers, SVTN-numbers, SVTN-group decision making.