Extension of aggregation operators to site selection for solid waste management under neutrosophic hypersoft set

Rana Muhammad Zulqarnain; Wen Xiu Ma; Imran Siddique; Shahid Hussain Gurmani; Fahd Jarad; Muhammad Irfan Ahamad; Rana Muhammad Zulqarnain; Wen Xiu Ma; Imran Siddique; Shahid Hussain Gurmani; Fahd Jarad; Muhammad Irfan Ahamad

doi:10.3934/math.2023208

AIMS Mathematics

2023, Volume 8, Issue 2: 4168-4201. doi: 10.3934/math.2023208

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Extension of aggregation operators to site selection for solid waste management under neutrosophic hypersoft set

1.
College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, Zhejiang 321004, China
2.
Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
3.
Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA
4.
School of Mathematical and Statistical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa
5.
Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
6.
Department of Mathematics, Cankaya University, Etimesgut, Ankara 06790, Turkey
7.
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 404332, Taiwan
8.
Department of Geography, Government College University Lahore 54000, Pakistan

Received: 11 October 2022 Revised: 14 November 2022 Accepted: 23 November 2022 Published: 02 December 2022
MSC : 62A86, 90B50, 03E72, 68T35

With the fast growth of the economy and rapid urbanization, the waste produced by the urban population also rises as the population increases. Due to communal, ecological, and financial constrictions, indicating a landfill site has become perplexing. Also, the choice of the landfill site is oppressed with vagueness and complexity due to the deficiency of information from experts and the existence of indeterminate data in the decision-making (DM) process. The neutrosophic hypersoft set (NHSS) is the most generalized form of the neutrosophic soft set, which deals with the multi-sub-attributes of the alternatives. The NHSS accurately judges the insufficiencies, concerns, and hesitation in the DM process compared to IFHSS and PFHSS, considering the truthiness, falsity, and indeterminacy of each sub-attribute of given parameters. This research extant the operational laws for neutrosophic hypersoft numbers (NHSNs). Furthermore, we introduce the aggregation operators (AOs) for NHSS, such as neutrosophic hypersoft weighted average (NHSWA) and neutrosophic hypersoft weighted geometric (NHSWG) operators, with their necessary properties. Also, a novel multi-criteria decision-making (MCDM) approach has been developed for site selection of solid waste management (SWM). Moreover, a numerical description is presented to confirm the reliability and usability of the proposed technique. The output of the advocated algorithm is compared with the related models already established to regulate the favorable features of the planned study.
- neutrosophic soft set,
- neutrosophic hypersoft set,
- NHSWA operator,
- NHSWG operator,
- MCDM,
- SWM
Citation: Rana Muhammad Zulqarnain, Wen Xiu Ma, Imran Siddique, Shahid Hussain Gurmani, Fahd Jarad, Muhammad Irfan Ahamad. Extension of aggregation operators to site selection for solid waste management under neutrosophic hypersoft set[J]. AIMS Mathematics, 2023, 8(2): 4168-4201. doi: 10.3934/math.2023208

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Abstract

With the fast growth of the economy and rapid urbanization, the waste produced by the urban population also rises as the population increases. Due to communal, ecological, and financial constrictions, indicating a landfill site has become perplexing. Also, the choice of the landfill site is oppressed with vagueness and complexity due to the deficiency of information from experts and the existence of indeterminate data in the decision-making (DM) process. The neutrosophic hypersoft set (NHSS) is the most generalized form of the neutrosophic soft set, which deals with the multi-sub-attributes of the alternatives. The NHSS accurately judges the insufficiencies, concerns, and hesitation in the DM process compared to IFHSS and PFHSS, considering the truthiness, falsity, and indeterminacy of each sub-attribute of given parameters. This research extant the operational laws for neutrosophic hypersoft numbers (NHSNs). Furthermore, we introduce the aggregation operators (AOs) for NHSS, such as neutrosophic hypersoft weighted average (NHSWA) and neutrosophic hypersoft weighted geometric (NHSWG) operators, with their necessary properties. Also, a novel multi-criteria decision-making (MCDM) approach has been developed for site selection of solid waste management (SWM). Moreover, a numerical description is presented to confirm the reliability and usability of the proposed technique. The output of the advocated algorithm is compared with the related models already established to regulate the favorable features of the planned study.

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