A new perspective on traffic control management using triangular interval type-2 fuzzy sets and interval neutrosophic sets

Controlling traffic flow on roads is an important traffic management task necessary to ensure a peaceful and safe environment for people. The number of cars on roads at any given time is always unknown. Type-2 fuzzy sets and neutrosophic sets play a vital role in dealing efficiently with such uncert...

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Main Authors: Nagarajan, D., Lathamaheswari, M., Broumi, Said, Kavikumar, J.
Format: Article
Language:English
Published: Elsevier 2019
Subjects:
Online Access:http://eprints.uthm.edu.my/4110/1/AJ%202019%20%28237%29.pdf
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author Nagarajan, D.
Lathamaheswari, M.
Broumi, Said
Kavikumar, J.
author_facet Nagarajan, D.
Lathamaheswari, M.
Broumi, Said
Kavikumar, J.
author_sort Nagarajan, D.
collection UTHM
description Controlling traffic flow on roads is an important traffic management task necessary to ensure a peaceful and safe environment for people. The number of cars on roads at any given time is always unknown. Type-2 fuzzy sets and neutrosophic sets play a vital role in dealing efficiently with such uncertainty. In this paper, a triangular interval type-2 Schweizer and Sklar weighted arithmetic (TIT2SSWA) operator and a triangular interval type-2 Schweizer and Sklar weighted geometric (TIT2SSWG) operator based on Schweizer and Sklar triangular norms have been studied, and the validity of these operators has been checked using a numerical example and extended to an interval neutrosophic environment by proposing interval neutrosophic Schweizer and Sklar weighted arithmetic (INSSWA) and interval neutrosophic Schweizer and Sklar weighted geometric (INSSWG) operators. Furthermore, their properties have been examined; some of the more important properties are examined in detail. Moreover, we proposed an improved score function for interval neutrosophic numbers (INNs) to control traffic flow that has been analyzed by identifying the junction that has more vehicles. This improved score function uses score values of triangular interval type-2 fuzzy numbers (TIT2FNs) and interval neutrosophic numbers.
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spelling uthm.eprints-41102021-11-25T03:51:02Z http://eprints.uthm.edu.my/4110/ A new perspective on traffic control management using triangular interval type-2 fuzzy sets and interval neutrosophic sets Nagarajan, D. Lathamaheswari, M. Broumi, Said Kavikumar, J. TL Motor vehicles. Aeronautics. Astronautics TK7800-8360 Electronics Controlling traffic flow on roads is an important traffic management task necessary to ensure a peaceful and safe environment for people. The number of cars on roads at any given time is always unknown. Type-2 fuzzy sets and neutrosophic sets play a vital role in dealing efficiently with such uncertainty. In this paper, a triangular interval type-2 Schweizer and Sklar weighted arithmetic (TIT2SSWA) operator and a triangular interval type-2 Schweizer and Sklar weighted geometric (TIT2SSWG) operator based on Schweizer and Sklar triangular norms have been studied, and the validity of these operators has been checked using a numerical example and extended to an interval neutrosophic environment by proposing interval neutrosophic Schweizer and Sklar weighted arithmetic (INSSWA) and interval neutrosophic Schweizer and Sklar weighted geometric (INSSWG) operators. Furthermore, their properties have been examined; some of the more important properties are examined in detail. Moreover, we proposed an improved score function for interval neutrosophic numbers (INNs) to control traffic flow that has been analyzed by identifying the junction that has more vehicles. This improved score function uses score values of triangular interval type-2 fuzzy numbers (TIT2FNs) and interval neutrosophic numbers. Elsevier 2019 Article PeerReviewed text en http://eprints.uthm.edu.my/4110/1/AJ%202019%20%28237%29.pdf Nagarajan, D. and Lathamaheswari, M. and Broumi, Said and Kavikumar, J. (2019) A new perspective on traffic control management using triangular interval type-2 fuzzy sets and interval neutrosophic sets. Operations Research Perspectives, 6. pp. 1-13. ISSN 2214-7160 https://doi.org/10.1016/j.orp.2019.100099
spellingShingle TL Motor vehicles. Aeronautics. Astronautics
TK7800-8360 Electronics
Nagarajan, D.
Lathamaheswari, M.
Broumi, Said
Kavikumar, J.
A new perspective on traffic control management using triangular interval type-2 fuzzy sets and interval neutrosophic sets
title A new perspective on traffic control management using triangular interval type-2 fuzzy sets and interval neutrosophic sets
title_full A new perspective on traffic control management using triangular interval type-2 fuzzy sets and interval neutrosophic sets
title_fullStr A new perspective on traffic control management using triangular interval type-2 fuzzy sets and interval neutrosophic sets
title_full_unstemmed A new perspective on traffic control management using triangular interval type-2 fuzzy sets and interval neutrosophic sets
title_short A new perspective on traffic control management using triangular interval type-2 fuzzy sets and interval neutrosophic sets
title_sort new perspective on traffic control management using triangular interval type 2 fuzzy sets and interval neutrosophic sets
topic TL Motor vehicles. Aeronautics. Astronautics
TK7800-8360 Electronics
url http://eprints.uthm.edu.my/4110/1/AJ%202019%20%28237%29.pdf
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