A Chi-square Distance-based Similarity Measure of Single-valued Neutrosophic Set and Applications

The aim of this paper is to propose a new similarity measure of singlevalued neutrosophic sets (SVNSs). The idea of the construction of the new similarity measure comes from Chi-square distance measure, which is an important measure in the applications of image analysis and statistical inference. Numerical examples are provided to show the superiority of the proposed similarity measure comparing with the existing similarity measures of SVNSs. A weighted similarity is also put forward based on the proposed similarity. Some examples are given to show the effectiveness and practicality of the proposed similarity in pattern recognition, medical diagnosis and multi-attribute decision making problems under single-valued neutrosophic environment

Extended TODIM Method for MADM Problem under Trapezoidal Intuitionistic Fuzzy Environment

In actual decision making process, the final decision result is often affected by decision maker’s psychological behavior, however, for the multiple attribute decision making (MADM) problem in which attributes values are expressed with trapezoidal intuitionistic fuzzy numbers (TIFNs), there is few literature considering the decision maker's behavior factors in decision making process. For this case, this paper first proposes a new distance measure of TIFNs and a new ranking method which considers decision maker’s attitude behavior, and then develops an extended TODIM decision making method. Finally an example is given to illustrate the validity and practicability of the proposed method