Abstract
Molodtsov originated soft set theory that was provided a general mathematical framework for handling with uncertainties in which we meet the data by affix parameterized factor during the information analysis as differentiated to fuzzy as well as neutrosophic set theory. The main object of this paper is to lay a foundation for providing a new approach of single-valued neutrosophic soft tool which is considering many problems that contain uncertainties. In present study, a new aggregation operators of single-valued neutrosophic soft numbers have so far not yet been applied for ranking of the alternatives in decision-making problems. To this propose work, single-valued neutrosophic soft weighted arithmetic averaging (SVNSWA) operator, single-valued neutrosophic soft weighted geometric averaging (SVNSWGA) operator have been used to compare two single-valued neutrosophic soft numbers (SVNSNs) for aggregating different single-valued neutrosophic soft input arguments in neutrosophic soft environment. Then, its related properties have been investigated. Finally, a practical example for Medical diagnosis problems provided to test the feasibility and applicability of the proposed work.
Highlights
Multi-criteria decision-making (MCDM) problems seek great attention in modern decision science.The method is addressed to select the best alternative among the finite set of alternatives as claimed by decision makers under the preference values of the alternatives
For the sake of simplicity, we denote the pair of Cet = {h Tc ( x ), Ic ( x ), Fc ( x )i| xs ∈ U }, i.e., Cest = h Tst, Ist, Fst i is called as single-valued neutrosophic soft (SVNSN) numbers
We have studied multi-criteria group decision-making problem using in the environment of single-valued neutrosophic soft information
Summary
Multi-criteria decision-making (MCDM) problems seek great attention in modern decision science. To the best of our knowledge, the research developed on FSS and SVNSS is only about their basic theory and its applications, but, there have been no research done on single-valued neutrosophic soft aggregation numbers. It is a new issue and have a scope for future development in decision science. Decision-making problems in single-valued neutrosophic soft environment under proposed aggregation operators which makes us enough motivation to develop the propose problems. In Section, we utilize those operators to create single-valued neutrosophic soft multi-criteria group decision-making problems.
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