Modeling Multi-Criteria Decision-Making in Dynamic Neutrosophic Environments Bases on Choquet Integral

Abstract

Multi-attributes decision-making problem in dynamic neutrosophic environment is an open and highly-interesting research area with many potential applications in real life. The concept of the dynamic interval-valued neutrosophic set and its application for the dynamic decision-making are proposed recently, however the inter-dependence among criteria or preference is not dealt with in the proposed operations to well treat inter-dependence problems. Therefore, the definitions, mathematical operations and its properties are mentioned and discussed in detail.Then, Choquet integral-based distance between dynamic inteval-valued neutrosophic sets is defined and used to develop a new decision making model based on the proposed theory. A practical application of proposed approach is constructed and tested on the data of lecturers' performance collected from Vietnam National University (VNU) to illustrate the efficiency of new proposal.

A Novel Dynamic Multi-Criteria Decision Making Method Based on Generalized Dynamic Interval-Valued Neutrosophic Set

“…Data of Thuongmai University students were used to illustrate the proper of DTOPSIS model which opened the potential application in larger scale also. For the future works, we will extend generalized dynamic interval-valued neutrosophic sets for some other real-world applications [27][28][29][30][31][32][33][34][35]. Furthermore, we hope to apply GDIVNS for dealing with the unlimited time problems in decision-making model in dynamic neutrosophic environment based on the idea in [36,37].…”

“…. , n * from A + r and A − r at period t r , are calculated as: (27) where d + m and d − m respectively represent the shortest and farthest distances of A m . Step 7.…”

An Extended TOPSIS Method with Unknown Weight Information in Dynamic Neutrosophic Environment

“…This section applies the proposed method with dataset in [17] to evaluate lecturers' performances from ULIS, Vietnam National University, Hanoi, Vietnam. The hierarchical structure of the constructed multi-criteria decision-making problem is depicted in Figure 2 for the dataset.…”

“…In this section, we compare the proposed method with those in Thong et al [17] and Peng [29] to demonstrate the advantages for unknown weight information in dynamic neutrosophic environments. Data used to prove the performance of the method are in [17].…”

“…For solving such problems, several studies have attempted to develop the methods to handle the MCDM problems using various kinds of information, such as fuzzy set [1], interval fuzzy set [2,3], intuitionistic fuzzy set [4,5], 2 of 15 hesitant fuzzy set [6], neutrosophic set [7][8][9][10], interval neutrosophic set [11][12][13][14][15], or single neutrosophic set [16], etc. [17][18][19], and various methods (e.g., maximizing deviation method, entropy, optimization method) [20][21][22] in which the information of criteria weights are incompletely known.…”