AIMay 30, 2014

Neutrosophic soft sets with applications in decision making

arXiv:1405.7964v257 citations
Originality Synthesis-oriented
AI Analysis

This work addresses decision-making under uncertainty, but it is incremental as it builds on existing definitions and methods.

The paper redefines neutrosophic soft sets and their operations to enhance functionality, then constructs decision-making methods that select optimum elements from alternatives, with examples showing successful application to uncertain problems.

We firstly present definitions and properties in study of Maji \cite{maji-2013} on neutrosophic soft sets. We then give a few notes on his study. Next, based on Çağman \cite{cagman-2014}, we redefine the notion of neutrosophic soft set and neutrosophic soft set operations to make more functional. By using these new definitions we construct a decision making method and a group decision making method which selects a set of optimum elements from the alternatives. We finally present examples which shows that the methods can be successfully applied to many problems that contain uncertainties.

Foundations

The foundational work for this paper's niche, ranked by how specifically the neighbourhood builds on it — not by global fame.

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