A Cutting-Edge TOPSIS Approach for Navigating MCDM Challenges Under t-Intuitionistic Fuzzy Environments

The significance of t-intuitionistic fuzzy TOPSIS lies in its ability to address challenges related to uncertainty and ambiguity within the decision-making process. The incorporation of the “t” parameter as a t-norm and t-conorm operator offers a more comprehensive and precise...

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Main Authors: Dilshad Alghazzawi, Hanan Alolyian, Laila Latif, Umer Shuaib, Hamiden Abd El-Wahed Khalifa, Haifa Alqahtani, Qin Xin
Format: Article
Language:English
Published: IEEE 2024-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10477653/
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author Dilshad Alghazzawi
Hanan Alolyian
Laila Latif
Umer Shuaib
Hamiden Abd El-Wahed Khalifa
Haifa Alqahtani
Qin Xin
author_facet Dilshad Alghazzawi
Hanan Alolyian
Laila Latif
Umer Shuaib
Hamiden Abd El-Wahed Khalifa
Haifa Alqahtani
Qin Xin
author_sort Dilshad Alghazzawi
collection DOAJ
description The significance of t-intuitionistic fuzzy TOPSIS lies in its ability to address challenges related to uncertainty and ambiguity within the decision-making process. The incorporation of the “t” parameter as a t-norm and t-conorm operator offers a more comprehensive and precise approach, making it essential in scenarios where standard intuitionistic fuzzy TOPSIS approaches are insufficient. The implementation of this methodology across multiple domains enhances the dependability and robustness of decision-making procedures. The classification of the technique as an indispensable tool with a broad spectrum of applications is substantially bolstered by its fundamental qualities of versatility, adaptability, and flexibility. In this study, we introduce a novel distance measure called the lift-distance measure between t-intuitionistic fuzzy sets and examines its structural properties. Then, the superiority of this new distance measure is compared with some existing distance measures. To address circumstances with inherent ambiguity, we present a novel decision-making tool called the t-intuitionistic fuzzy TOPSIS technique based on the proposed distance measure. The integration of t-intuitionistic fuzzy terminology into this approach augments the versatility and inclusiveness of the TOPSIS methodology. The case analysis demonstrates that the developed strategy’s effectiveness and precision are superior to those of established alternatives. By providing a flexible and all-encompassing tool for decision-making in conditional environments, the application of this methodology possesses the capacity to generate significant favorable results. In addition, a comparative analysis is undertaken, which includes established TOPSIS methods, to demonstrate the improved performance of the proposed method. The comparison results demonstrate the ability of the proposed method to effectively capture the imprecision or vague differences in t-intuitionistic fuzzy sets so as to obtain more accurate and reliable ranking results.
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spelling doaj.art-efdcad0b9dd540f29a95b3705b4eb8fa2024-04-01T23:00:33ZengIEEEIEEE Access2169-35362024-01-0112448734488710.1109/ACCESS.2024.338020510477653A Cutting-Edge TOPSIS Approach for Navigating MCDM Challenges Under t-Intuitionistic Fuzzy EnvironmentsDilshad Alghazzawi0https://orcid.org/0000-0002-8330-2818Hanan Alolyian1Laila Latif2https://orcid.org/0000-0003-1860-3187Umer Shuaib3https://orcid.org/0000-0002-8979-0816Hamiden Abd El-Wahed Khalifa4Haifa Alqahtani5Qin Xin6https://orcid.org/0000-0002-6178-8538Department of Mathematics, College of Science & Arts, King Abdulaziz University, Rabigh, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, Riyadh, Saudi ArabiaDepartment of Mathematics, Government College University Faisalabad, Faisalabad, PakistanDepartment of Mathematics, Government College University Faisalabad, Faisalabad, PakistanDepartment of Mathematics, College of Science, Qassim University, Buraydah, Saudi ArabiaDepartment of Statistics and Business Analytics, United Arab Emirates University, Abu Dhabi, Al Ain, United Arab EmiratesFaculty of Science and Technology, University of the Faroe Islands, Tórshavn, Faroe IslandsThe significance of t-intuitionistic fuzzy TOPSIS lies in its ability to address challenges related to uncertainty and ambiguity within the decision-making process. The incorporation of the “t” parameter as a t-norm and t-conorm operator offers a more comprehensive and precise approach, making it essential in scenarios where standard intuitionistic fuzzy TOPSIS approaches are insufficient. The implementation of this methodology across multiple domains enhances the dependability and robustness of decision-making procedures. The classification of the technique as an indispensable tool with a broad spectrum of applications is substantially bolstered by its fundamental qualities of versatility, adaptability, and flexibility. In this study, we introduce a novel distance measure called the lift-distance measure between t-intuitionistic fuzzy sets and examines its structural properties. Then, the superiority of this new distance measure is compared with some existing distance measures. To address circumstances with inherent ambiguity, we present a novel decision-making tool called the t-intuitionistic fuzzy TOPSIS technique based on the proposed distance measure. The integration of t-intuitionistic fuzzy terminology into this approach augments the versatility and inclusiveness of the TOPSIS methodology. The case analysis demonstrates that the developed strategy’s effectiveness and precision are superior to those of established alternatives. By providing a flexible and all-encompassing tool for decision-making in conditional environments, the application of this methodology possesses the capacity to generate significant favorable results. In addition, a comparative analysis is undertaken, which includes established TOPSIS methods, to demonstrate the improved performance of the proposed method. The comparison results demonstrate the ability of the proposed method to effectively capture the imprecision or vague differences in t-intuitionistic fuzzy sets so as to obtain more accurate and reliable ranking results.https://ieeexplore.ieee.org/document/10477653/t-intuitionistic fuzzy setdistance measurecloseness coefficientintuitionistic fuzzy TOPSIS techniquedecision makingoptimization
spellingShingle Dilshad Alghazzawi
Hanan Alolyian
Laila Latif
Umer Shuaib
Hamiden Abd El-Wahed Khalifa
Haifa Alqahtani
Qin Xin
A Cutting-Edge TOPSIS Approach for Navigating MCDM Challenges Under t-Intuitionistic Fuzzy Environments
IEEE Access
t-intuitionistic fuzzy set
distance measure
closeness coefficient
intuitionistic fuzzy TOPSIS technique
decision making
optimization
title A Cutting-Edge TOPSIS Approach for Navigating MCDM Challenges Under t-Intuitionistic Fuzzy Environments
title_full A Cutting-Edge TOPSIS Approach for Navigating MCDM Challenges Under t-Intuitionistic Fuzzy Environments
title_fullStr A Cutting-Edge TOPSIS Approach for Navigating MCDM Challenges Under t-Intuitionistic Fuzzy Environments
title_full_unstemmed A Cutting-Edge TOPSIS Approach for Navigating MCDM Challenges Under t-Intuitionistic Fuzzy Environments
title_short A Cutting-Edge TOPSIS Approach for Navigating MCDM Challenges Under t-Intuitionistic Fuzzy Environments
title_sort cutting edge topsis approach for navigating mcdm challenges under t intuitionistic fuzzy environments
topic t-intuitionistic fuzzy set
distance measure
closeness coefficient
intuitionistic fuzzy TOPSIS technique
decision making
optimization
url https://ieeexplore.ieee.org/document/10477653/
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