Journal
JOURNAL OF AMBIENT INTELLIGENCE AND HUMANIZED COMPUTING
Volume 11, Issue 11, Pages 5245-5258Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s12652-020-01853-y
Keywords
Possibility mean; Single valued neutrosophic numbers; Trapezoidal neutrosophic numbers; Triangular neutrosophic numbers; Multi-attribute decision making
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Single valued neutrosophic (SVN) set has a useful independent mathematical structure for expressing the incomplete, inconsistent and indeterminate information. Many researchers have studied decision making problems with SVN environment. This paper presented a new ranking method of SVN-numbers based on possibility theory for solving a multi-attribute decision making (MADM) problem. The first time we have defined the concept of possibility mean of SVN numbers and applied to multi-attribute decision making problem in which the attribute values are considered as SVN-numbers. Then, we propose the possibility mean of the truth-membership function, indeterminacy-membership function and falsity-membership function for single valued trapezoidal neutrosophic (SVTN) numbers and studied some desired properties of SVTN. Thus, we have developed a new ranking approach using the concept of weighted possibility mean, and applied to MADM problems. Finally, a numerical example is examined to show the applicability and an embodiment of the proposed method.
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