Paper Info
Title
Generalization of Maximizing Deviation and TOPSIS Method for MADM in Simplified Neutrosophic Hesitant Fuzzy Environment.
Abstract
With the development of the social economy and enlarged volume of information, the application of multiple-attribute decision-making (MADM) has become increasingly complex, uncertain, and obscure. As a further generalization of hesitant fuzzy set (HFS), simplified neutrosophic hesitant fuzzy set (SNHFS) is an efficient tool to process the vague information and contains the ideas of a single-valued neutrosophic hesitant fuzzy set (SVNHFS) and an interval neutrosophic hesitant fuzzy set (INHFS). In this paper, we propose a decision-making approach based on the maximizing deviation method and TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) to solve the MADM problems, in which the attribute weight information is incomplete, and the decision information is expressed in simplified neutrosophic hesitant fuzzy elements. Firstly, we inaugurate an optimization model on the basis of maximizing deviation method, which is useful to determine the attribute weights. Secondly, using the idea of the TOPSIS, we determine the relative closeness coefficient of each alternative and based on which we rank the considered alternatives to select the optimal one(s). Finally, we use a numerical example to show the detailed implementation procedure and effectiveness of our method in solving MADM problems under simplified neutrosophic hesitant fuzzy environment.
Year
DOI
Venue
2019
10.3390/sym11081058
SYMMETRY-BASEL
Keywords
Field
DocType
simplified neutrosophic hesitant fuzzy set,multi-attribute decision-making,maximizing deviation,TOPSIS
Combinatorics,Mathematical optimization,Closeness,Fuzzy logic,Ideal solution,Fuzzy set,TOPSIS,Mathematics
Journal
Volume
Issue
Citations 
11
8
1
PageRank 
References 
Authors
0.35
0
3
Name
Order
Citations
PageRank
Muhammad Akram136554.94
Sumera Naz210.35
Florentin Smarandache3728104.92