Fermatean fuzzy score function and distance measure based group decision making framework for household waste recycling plant location selection.

Arunodaya Raj Mishra, Pratibha Rani, Parvaneh Saeidi, Muhammet Deveci, Adel Fahad Alrasheedi
Author Information
  1. Arunodaya Raj Mishra: Department of Mathematics, Government College Raigaon, Satna, Madhya Pradesh, 485441, India. arunodaya87@outlook.com.
  2. Pratibha Rani: Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Andhra Pradesh, India.
  3. Parvaneh Saeidi: Research Center in Business, Society, and Technology, ESTec, Faculty of Economic Administrative and Business Sciences, Universidad Tecnol��gica Indoam��rica, Quito, Ecuador.
  4. Muhammet Deveci: Department of Industrial Engineering, Turkish Naval Academy, National Defence University, 34942, Tuzla, Istanbul, Turkey.
  5. Adel Fahad Alrasheedi: Statistics and Operations Research Department, College of Science, King Saud University, Riyadh, 11451, Saudi Arabia.

Abstract

The household waste (HW) disposal and recycling have become a significant challenge due to increasing quantities of generated household wastes and increased levels of urbanization. Selecting locations/sites for building new HW recycling plant comprises numerous sustainability dimensions, thus, this work aims to develop new decision-making model for evaluating and prioritizing the HW recycling plant locations. This paper is categorized into three phases. First, we propose new improved score function to compare the Fermatean fuzzy numbers. Moreover, an example is presented to validate the effectiveness of proposed score function over the extant ones. Second, we introduce new distance measure to estimate the discrimination degree between Fermatean fuzzy sets (FFSs) and further discuss its advantages over the prior developed Fermatean fuzzy distance measures. Third, we introduce an integrated methodology by combining the method with the removal effects of criteria (MEREC), the stepwise weight assessment ratio analysis (SWARA) and the measurement alternatives and the ranking according to compromise solution (MARCOS) approaches with Fermatean fuzzy (FF) information, and named as the "FF-MEREC-SWARA-MARCOS" framework. In this method, the FF-distance measure is used to find the weights of involved decision-making experts. Moreover, an integrated criteria weighting method is presented with the combination of MEREC and SWARA models under the context of FFSs, while the combined FF-MEREC-SWARA-MARCOS model is applied to evaluate and prioritize the locations for HW recycling plant development, which illustrates its feasibility of the developed framework. Comparative study and sensitivity assessment are conducted to validate the obtained outcomes. This work provides a hybrid decision analysis approach, which marks a significant impact to the HW recycling plant location selection process with uncertain information.

Keywords

References

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Grants

  1. RSP2024R323/King Saud University, Riyadh, Saudi Arabia

Word Cloud

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