Novel Development to the Theory of Dombi Exponential Aggregation Operators in Neutrosophic Cubic Hesitant Fuzzy Sets: Applications to Solid Waste Disposal Site Selection

The neutrosophic cubic hesitant fuzzy set can efficiently handle the complex information in a decision-making problem because it combines the advantages of the neutrosophic cubic set and the hesitant fuzzy set. The algebraic operations based on Dombi norms and co-norms are more flexible than the usu...

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Main Authors: Ateeq Ur Rehman, Muhammad Gulistan, Nasreen Kausar, Sajida Kousar, Mohammed M. Al-Shamiri, Rashad Ismail
Format: Article
Language:English
Published: Hindawi-Wiley 2022-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2022/3828370
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author Ateeq Ur Rehman
Muhammad Gulistan
Nasreen Kausar
Sajida Kousar
Mohammed M. Al-Shamiri
Rashad Ismail
author_facet Ateeq Ur Rehman
Muhammad Gulistan
Nasreen Kausar
Sajida Kousar
Mohammed M. Al-Shamiri
Rashad Ismail
author_sort Ateeq Ur Rehman
collection DOAJ
description The neutrosophic cubic hesitant fuzzy set can efficiently handle the complex information in a decision-making problem because it combines the advantages of the neutrosophic cubic set and the hesitant fuzzy set. The algebraic operations based on Dombi norms and co-norms are more flexible than the usual algebraic operations as they involve an operational parameter. First, this paper establishes Dombi algebraic operational laws, score functions, and similarity measures in neutrosophic cubic hesitant fuzzy sets. Then, we proposed Dombi exponential operational laws in which the exponents are neutrosophic cubic hesitant fuzzy values and bases are positive real numbers. To use neutrosophic cubic hesitant fuzzy sets in decision-making, we are developing Dombi exponential aggregation operators in the current study. In the end, we present applications of exponential aggregation operators in multiattribute decision-making problems.
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spelling doaj.art-419173e1c5bd4689882cf7f54fe75bc02022-12-22T04:13:02ZengHindawi-WileyComplexity1099-05262022-01-01202210.1155/2022/3828370Novel Development to the Theory of Dombi Exponential Aggregation Operators in Neutrosophic Cubic Hesitant Fuzzy Sets: Applications to Solid Waste Disposal Site SelectionAteeq Ur Rehman0Muhammad Gulistan1Nasreen Kausar2Sajida Kousar3Mohammed M. Al-Shamiri4Rashad Ismail5Department of Mathematics and StatisticsDepartment of Mathematics and StatisticsDepartment of MathematicsDepartment of Mathematics and StatisticsDepartment of MathematicsDepartment of MathematicsThe neutrosophic cubic hesitant fuzzy set can efficiently handle the complex information in a decision-making problem because it combines the advantages of the neutrosophic cubic set and the hesitant fuzzy set. The algebraic operations based on Dombi norms and co-norms are more flexible than the usual algebraic operations as they involve an operational parameter. First, this paper establishes Dombi algebraic operational laws, score functions, and similarity measures in neutrosophic cubic hesitant fuzzy sets. Then, we proposed Dombi exponential operational laws in which the exponents are neutrosophic cubic hesitant fuzzy values and bases are positive real numbers. To use neutrosophic cubic hesitant fuzzy sets in decision-making, we are developing Dombi exponential aggregation operators in the current study. In the end, we present applications of exponential aggregation operators in multiattribute decision-making problems.http://dx.doi.org/10.1155/2022/3828370
spellingShingle Ateeq Ur Rehman
Muhammad Gulistan
Nasreen Kausar
Sajida Kousar
Mohammed M. Al-Shamiri
Rashad Ismail
Novel Development to the Theory of Dombi Exponential Aggregation Operators in Neutrosophic Cubic Hesitant Fuzzy Sets: Applications to Solid Waste Disposal Site Selection
Complexity
title Novel Development to the Theory of Dombi Exponential Aggregation Operators in Neutrosophic Cubic Hesitant Fuzzy Sets: Applications to Solid Waste Disposal Site Selection
title_full Novel Development to the Theory of Dombi Exponential Aggregation Operators in Neutrosophic Cubic Hesitant Fuzzy Sets: Applications to Solid Waste Disposal Site Selection
title_fullStr Novel Development to the Theory of Dombi Exponential Aggregation Operators in Neutrosophic Cubic Hesitant Fuzzy Sets: Applications to Solid Waste Disposal Site Selection
title_full_unstemmed Novel Development to the Theory of Dombi Exponential Aggregation Operators in Neutrosophic Cubic Hesitant Fuzzy Sets: Applications to Solid Waste Disposal Site Selection
title_short Novel Development to the Theory of Dombi Exponential Aggregation Operators in Neutrosophic Cubic Hesitant Fuzzy Sets: Applications to Solid Waste Disposal Site Selection
title_sort novel development to the theory of dombi exponential aggregation operators in neutrosophic cubic hesitant fuzzy sets applications to solid waste disposal site selection
url http://dx.doi.org/10.1155/2022/3828370
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