Dynamic interval valued neutrosophic set: Modeling decision making in dynamic environments

•We proposed Dynamic Interval-valued Neutrosophic Set for dynamic decision making.•Definitions and mathematical operations of DIVNSs were defined.•New TOPSIS decision making procedures in DIVNS were presented.•They were applied for evaluating lecturers’ performance in Vietnam National University.•Th...

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Bibliographic Details
Published inComputers in industry Vol. 108; pp. 45 - 52
Main Authors Thong, Nguyen Tho, Dat, Luu Quoc, Son, Le Hoang, Hoa, Nguyen Dinh, Ali, Mumtaz, Smarandache, Florentin
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.06.2019
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Summary:•We proposed Dynamic Interval-valued Neutrosophic Set for dynamic decision making.•Definitions and mathematical operations of DIVNSs were defined.•New TOPSIS decision making procedures in DIVNS were presented.•They were applied for evaluating lecturers’ performance in Vietnam National University.•The applications demonstrate the usefulness and efficiency of the proposal. Dynamic decision problems constrained by time are of highly-interested in many aspects of real life. This paper proposes a new concept called the Dynamic Interval-valued Neutrosophic Set (DIVNS) for such the dynamic decision-making applications. Firstly, we define the definitions and mathematical operations, properties and correlations of DIVNSs. Next, we develop a new TOPSIS (Technique for Order of Preference by Similarity to Ideal Solution) method based on the proposed DIVNS theory. Finally, a practical application of the method for evaluating lecturers’ performance at the University of Languages and International Studies, Vietnam National University, Hanoi (ULIS-VNU) is given to illustrate the efficiency of our approach.
ISSN:0166-3615
1872-6194
DOI:10.1016/j.compind.2019.02.009