Refined Simplified Neutrosophic Similarity Measures Based on Trigonometric Function and Their Application in Construction Project Decision-Making

Refined simplified neutrosophic sets (RSNSs) are appropriately used in decision-making problems with sub-attributes considering their truth components, indeterminacy components, and falsity components independently. This paper presents the similarity measures of RSNSs based on tangent and cotangent...

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Main Authors: Uwera Solang, Jun Ye
Format: Article
Language:English
Published: Pouyan Press 2018-07-01
Series:Journal of Soft Computing in Civil Engineering
Subjects:
Online Access:http://www.jsoftcivil.com/article_61655_6a4b8612642c165864f954427b900571.pdf
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spelling doaj-6f2cfdc82d3641c5b6ac0774ccdfd4372021-03-21T12:52:30ZengPouyan PressJournal of Soft Computing in Civil Engineering2588-28722588-28722018-07-012311210.22115/scce.2018.126129.105661655Refined Simplified Neutrosophic Similarity Measures Based on Trigonometric Function and Their Application in Construction Project Decision-MakingUwera Solang0Jun Ye1Department of Civil Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing, Zhejiang Province 312000, P.R. ChinaDepartment of Civil Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing, Zhejiang Province 312000, P.R. ChinaRefined simplified neutrosophic sets (RSNSs) are appropriately used in decision-making problems with sub-attributes considering their truth components, indeterminacy components, and falsity components independently. This paper presents the similarity measures of RSNSs based on tangent and cotangent functions. When the weights of each element/attribute and each sub-element/sub-attribute in RSNSs are considered according to their importance, we propose the weighted similarity measures of RSNSs and their multiple attribute decision-making (MADM) method with RSNS information. In the MADM process, the developed method gives the ranking order and the best selection of alternatives by getting the weighted similarity measure values between alternatives and the ideal solution according to the given attribute weights and sub-attribute weights. Then, an illustrative MADM example in a construction project with RSNS information is presented to show the effectiveness and feasibility of the proposed MADM method under RSNS environments. This study extends existing methods and provides a new way for the refined simplified neutrosophic MADM problems containing both the attribute weight and the sub-attribute weights.http://www.jsoftcivil.com/article_61655_6a4b8612642c165864f954427b900571.pdfrefined simplified neutrosophic settangent functioncotangent functionsimilarity measureconstruction projectmultiple attribute decision-making
collection DOAJ
language English
format Article
sources DOAJ
author Uwera Solang
Jun Ye
spellingShingle Uwera Solang
Jun Ye
Refined Simplified Neutrosophic Similarity Measures Based on Trigonometric Function and Their Application in Construction Project Decision-Making
Journal of Soft Computing in Civil Engineering
refined simplified neutrosophic set
tangent function
cotangent function
similarity measure
construction project
multiple attribute decision-making
author_facet Uwera Solang
Jun Ye
author_sort Uwera Solang
title Refined Simplified Neutrosophic Similarity Measures Based on Trigonometric Function and Their Application in Construction Project Decision-Making
title_short Refined Simplified Neutrosophic Similarity Measures Based on Trigonometric Function and Their Application in Construction Project Decision-Making
title_full Refined Simplified Neutrosophic Similarity Measures Based on Trigonometric Function and Their Application in Construction Project Decision-Making
title_fullStr Refined Simplified Neutrosophic Similarity Measures Based on Trigonometric Function and Their Application in Construction Project Decision-Making
title_full_unstemmed Refined Simplified Neutrosophic Similarity Measures Based on Trigonometric Function and Their Application in Construction Project Decision-Making
title_sort refined simplified neutrosophic similarity measures based on trigonometric function and their application in construction project decision-making
publisher Pouyan Press
series Journal of Soft Computing in Civil Engineering
issn 2588-2872
2588-2872
publishDate 2018-07-01
description Refined simplified neutrosophic sets (RSNSs) are appropriately used in decision-making problems with sub-attributes considering their truth components, indeterminacy components, and falsity components independently. This paper presents the similarity measures of RSNSs based on tangent and cotangent functions. When the weights of each element/attribute and each sub-element/sub-attribute in RSNSs are considered according to their importance, we propose the weighted similarity measures of RSNSs and their multiple attribute decision-making (MADM) method with RSNS information. In the MADM process, the developed method gives the ranking order and the best selection of alternatives by getting the weighted similarity measure values between alternatives and the ideal solution according to the given attribute weights and sub-attribute weights. Then, an illustrative MADM example in a construction project with RSNS information is presented to show the effectiveness and feasibility of the proposed MADM method under RSNS environments. This study extends existing methods and provides a new way for the refined simplified neutrosophic MADM problems containing both the attribute weight and the sub-attribute weights.
topic refined simplified neutrosophic set
tangent function
cotangent function
similarity measure
construction project
multiple attribute decision-making
url http://www.jsoftcivil.com/article_61655_6a4b8612642c165864f954427b900571.pdf
work_keys_str_mv AT uwerasolang refinedsimplifiedneutrosophicsimilaritymeasuresbasedontrigonometricfunctionandtheirapplicationinconstructionprojectdecisionmaking
AT junye refinedsimplifiedneutrosophicsimilaritymeasuresbasedontrigonometricfunctionandtheirapplicationinconstructionprojectdecisionmaking
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