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

Author:

Zulqarnain Rana Muhammad1,Ma Wen Xiu1234,Siddique Imran5,Gurmani Shahid Hussain1,Jarad Fahd67,Ahamad Muhammad Irfan8

Affiliation:

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

Abstract

<abstract> <p>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.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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