scholarly journals Similarity measures of bipolar neutrosophic sets and their application to multiple criteria decision making

2016 ◽  
Vol 29 (3) ◽  
pp. 739-748 ◽  
Author(s):  
Vakkas Uluçay ◽  
Irfan Deli ◽  
Mehmet Şahin
Keyword(s):  
Decision Making ◽  
Multiple Criteria Decision Making ◽  
Similarity Measures ◽  
Multiple Criteria ◽  
Neutrosophic Sets

scholarly journals Multiple-criteria Decision-making Based on the Use of Single-valued Neutrosophic Sets and Similarity Measures

2021 ◽  
Vol 55 (2/2021) ◽  
pp. 5-22
Author(s):  
STANUJKIC DRAGISA ◽  
KARABASEVIC DARJAN ◽  
POPOVIC GABRIJELA ◽  
SMARANDACHE FLORENTIN ◽  
ZAVADSKAS EDMUNDAS KAZIMIERAS ◽  
...  
Keyword(s):  
Decision Making ◽  
Multiple Criteria Decision Making ◽  
Similarity Measures ◽  
Multiple Criteria ◽  
Neutrosophic Sets

scholarly journals Multiple Criteria Decision-Making Based on Vector Similarity Measures under the Framework of Dual Hesitant Fuzzy Sets

2020 ◽  
Vol 2020 ◽  
pp. 1-11 ◽  
Author(s):  
Juan Luis García Guirao ◽  
M. Sarwar Sindhu ◽  
Tabasam Rashid ◽  
Agha Kashif
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Multiple Criteria Decision Making ◽  
Similarity Measures ◽  
Smart Phone ◽  
Multiple Criteria ◽  
Decision Makers ◽  
Hesitant Fuzzy Sets ◽  
Investment Companies ◽  
Selection Of

Similarity measures have a great importance in the decision-making process. In order to identify the similarity between the options, many experts have established several types of similarity measures on the basis of vectors and distances. The Cosine, Dice, and Jaccard are the vector similarity measures. The present work enclosed the modified Jaccard and Dice similarity measures. Founded on the Dice and Jaccard similarity measures, we offered a multiple criteria decision-making (MCDM) model under the dual hesitant fuzzy sets (DHFSs) situation, in which the appraised values of the alternatives with respect to criteria are articulated by dual hesitant fuzzy elements (DHFEs). Since the weights of the criteria have a much influence in making the decisions, therefore decision makers (DMs) allocate the weights to each criteria according to their knowledge. In the present work, we get rid of the doubt to allocate the weights to the criteria by taking an objective function under some constraints and then extended the linear programming (LP) technique to evaluate the weights of the criteria. The Dice and Jaccard weighted similarity measures are practiced amongst the ideal and each alternative to grade all the alternatives to get the best one. Eventually, two practical examples, about investment companies and selection of smart phone accessories are assumed to elaborate the efficiency of the proposed methodology.

scholarly journals A Novel Approach for Assessing the Reliability of Data Contained in a Single Valued Neutrosophic Number and its Application in Multiple Criteria Decision Making

2020 ◽  
pp. 22-29
Author(s):  
admin admin ◽  
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...  
Keyword(s):  
Decision Making ◽  
Evaluation Criteria ◽  
Multiple Criteria Decision Making ◽  
Multiple Criteria ◽  
Membership Functions ◽  
Neutrosophic Sets ◽  
Numerical Illustration ◽  
Novel Approach ◽  
Complex Evaluation ◽  
The Many

Multiple criteria decision making is one of the many areas where neutrosophic sets have been successfully applied to solve various problems so far. Compared to a fuzzy set, and similar sets, neutrosophic sets use more membership functions which makes them suitable for using complex evaluation criteria in multiple criteria decision making. On the other hand, the application of three membership functions makes evaluation somewhat more complex compared to evaluation using fuzzy sets. The reliability of the data used to solve a problem can have an impact on the selection of the appropriate solution/alternative. Therefore, this paper discusses an approach that can be used to assess the reliability of information collected by surveying respondents. The usability of the proposed approach is demonstrated in the numerical illustration of the supplier selection.

scholarly journals A Novel Extension of the TOPSIS Method Adapted for the Use of Single-Valued Neutrosophic Sets and Hamming Distance for E-Commerce Development Strategies Selection

Symmetry ◽  
2020 ◽  
Vol 12 (8) ◽  
pp. 1263 ◽  
Author(s):  
Darjan Karabašević ◽  
Dragiša Stanujkić ◽  
Edmundas Kazimieras Zavadskas ◽  
Predrag Stanimirović ◽  
Gabrijela Popović ◽  
...  
Keyword(s):  
Decision Making ◽  
Hamming Distance ◽  
Multiple Criteria Decision Making ◽  
Multiple Criteria ◽  
Membership Functions ◽  
Topsis Method ◽  
Neutrosophic Sets ◽  
Different Types ◽  
Complex Decision Making ◽  
Complex Decision

Neutrosophic sets have been recognized as an effective approach in solving complex decision-making (DM) problems, mainly when such problems are related to uncertainties, as published in numerous articles thus far. The use of the three membership functions that can be used to express accuracy, inaccuracy, and indeterminacy during the evaluation of alternatives in multiple-criteria DM can be said to be a significant advantage of these sets. By utilizing these membership functions, neutrosophic sets provide an efficient and flexible approach to the evaluation of alternatives, even if DM problems are related to uncertainty and predictions. On the other hand, the TOPSIS method is a prominent multiple-criteria decision-making method used so far to solve numerous decision-making problems, and many extensions of the TOPSIS method are proposed to enable the use of different types of fuzzy as well as neutrosophic sets. Therefore, a novel extension of the TOPSIS method adapted for the use of single-valued neutrosophic sets was considered in this paper.

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