Einstein Aggregation Operator Technique for Linguistic q-Rung Orthopair Fuzzy Hypersoft Set With Application to Sustainable Construction Industry

The unclear and vague information, subjective assessments, and the languages spoken with diversity in these domains are some of the linguistic features that complicate the decision-making process in the construction industry. Language-specific terminology, context-specific terms, and terms requiring...

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Main Authors: Muhammad Saqlain, Harish Garg, Wiyada Kumam, Rana Muhammad Zulqarnain
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
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Online Access:https://ieeexplore.ieee.org/document/10942349/
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author Muhammad Saqlain
Harish Garg
Wiyada Kumam
Rana Muhammad Zulqarnain
author_facet Muhammad Saqlain
Harish Garg
Wiyada Kumam
Rana Muhammad Zulqarnain
author_sort Muhammad Saqlain
collection DOAJ
description The unclear and vague information, subjective assessments, and the languages spoken with diversity in these domains are some of the linguistic features that complicate the decision-making process in the construction industry. Language-specific terminology, context-specific terms, and terms requiring a common translation all provide challenges. Furthermore, it is challenging to compile linguistic information from several sources with a cohesive framework due to interpretation variability. To address these challenges, in this article, we propose a novel theory term as linguistic q-rung orthopair fuzzy hypersoft set (Lq-ROFHS). To aggregate the various information, we defined some new weighted averaging and geometric operators by using Einstein t-norm operations. The fundamental properties of all these stated operators are derived in detail. To illustrate the method, a multi-criteria group decision making algorithm is proposed by using the stated operators and apply them to the case study related to the selection of the best construction company. To demonstrate the efficiency of the proposed algorithm, a comparative analysis between the proposed and the several existing studies is done by comparing the order of preference. The proposed approach is a significant advancement that will enable decision-makers to navigate the complexities of their choice with greater assurance and precision using a single tool.
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spelling doaj-art-603e820df6c846e281d24ecc65512c192025-08-20T03:18:27ZengIEEEIEEE Access2169-35362025-01-0113630296304710.1109/ACCESS.2025.355501510942349Einstein Aggregation Operator Technique for Linguistic q-Rung Orthopair Fuzzy Hypersoft Set With Application to Sustainable Construction IndustryMuhammad Saqlain0https://orcid.org/0000-0003-3617-6043Harish Garg1https://orcid.org/0000-0001-9099-8422Wiyada Kumam2https://orcid.org/0000-0001-8773-4821Rana Muhammad Zulqarnain3https://orcid.org/0000-0002-2656-8679Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi, Bangkok, ThailandDepartment of Mathematics, >Thapar Institute of Engineering and Technology (Deemed University), Patiala, Punjab, IndiaDepartment of Mathematics and Computer Science, Faculty of Science and Technology, Applied Mathematics for Science and Engineering Research Unit (AMSERU) Program in Applied Statistics, Rajamangala University of Technology Thanyaburi, Klong Luang, Pathum Thani, ThailandDepartment of Mathematics, Saveetha School of Engineering, SIMATS Thandalam, Chennai, Tamil Nadu, IndiaThe unclear and vague information, subjective assessments, and the languages spoken with diversity in these domains are some of the linguistic features that complicate the decision-making process in the construction industry. Language-specific terminology, context-specific terms, and terms requiring a common translation all provide challenges. Furthermore, it is challenging to compile linguistic information from several sources with a cohesive framework due to interpretation variability. To address these challenges, in this article, we propose a novel theory term as linguistic q-rung orthopair fuzzy hypersoft set (Lq-ROFHS). To aggregate the various information, we defined some new weighted averaging and geometric operators by using Einstein t-norm operations. The fundamental properties of all these stated operators are derived in detail. To illustrate the method, a multi-criteria group decision making algorithm is proposed by using the stated operators and apply them to the case study related to the selection of the best construction company. To demonstrate the efficiency of the proposed algorithm, a comparative analysis between the proposed and the several existing studies is done by comparing the order of preference. The proposed approach is a significant advancement that will enable decision-makers to navigate the complexities of their choice with greater assurance and precision using a single tool.https://ieeexplore.ieee.org/document/10942349/Aggregate operatordecision makingeinstein operatorfuzzy sethypersoft setlinguistic quantifiers
spellingShingle Muhammad Saqlain
Harish Garg
Wiyada Kumam
Rana Muhammad Zulqarnain
Einstein Aggregation Operator Technique for Linguistic q-Rung Orthopair Fuzzy Hypersoft Set With Application to Sustainable Construction Industry
IEEE Access
Aggregate operator
decision making
einstein operator
fuzzy set
hypersoft set
linguistic quantifiers
title Einstein Aggregation Operator Technique for Linguistic q-Rung Orthopair Fuzzy Hypersoft Set With Application to Sustainable Construction Industry
title_full Einstein Aggregation Operator Technique for Linguistic q-Rung Orthopair Fuzzy Hypersoft Set With Application to Sustainable Construction Industry
title_fullStr Einstein Aggregation Operator Technique for Linguistic q-Rung Orthopair Fuzzy Hypersoft Set With Application to Sustainable Construction Industry
title_full_unstemmed Einstein Aggregation Operator Technique for Linguistic q-Rung Orthopair Fuzzy Hypersoft Set With Application to Sustainable Construction Industry
title_short Einstein Aggregation Operator Technique for Linguistic q-Rung Orthopair Fuzzy Hypersoft Set With Application to Sustainable Construction Industry
title_sort einstein aggregation operator technique for linguistic q rung orthopair fuzzy hypersoft set with application to sustainable construction industry
topic Aggregate operator
decision making
einstein operator
fuzzy set
hypersoft set
linguistic quantifiers
url https://ieeexplore.ieee.org/document/10942349/
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