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Linear Diophantine Fuzzy Information Aggregation with Multi-criteria Decision-Making

In: Fuzzy Optimization, Decision-making and Operations Research

Author

Listed:
  • H. M. A. Farid

    (University of the Punjab, Department of Mathematics)

  • Muhammad Riaz

    (University of the Punjab, Department of Mathematics)

Abstract

Linear Diophantine fuzzy set (LDFS) is the integral part of decision-making process under uncertain environment, because of its amazing quality of having a vast portrayal zone for authorized doublets, and the LDFS theory expands the region of fuzzy information that may be obtained by using reference parameters. Because the real world is not accurate, and there is a lack of knowledge, assessing and picking the best option can be a challenging and unexpectedly difficult decision-making issue. The primary goal is to guide decision-makers through the process of selecting the best option inside a linear-Diophantine fuzzy context. We suggested four new aggregation operators (AOs): the “linear Diophantine fuzzy weighted average (LDFWA) operator, linear Diophantine fuzzy ordered weighted average (LDFOWA) operator, linear Diophantine fuzzy weighted geometric (LDFWG) operator, and linear Diophantine fuzzy ordered weighted geometric (LDFOWG) operator.” Following that, the proposed model is validated using a clear example of linear Diophantine fuzzy content. This demonstrates the utility and applicability of the suggested strategy.

Suggested Citation

  • H. M. A. Farid & Muhammad Riaz, 2023. "Linear Diophantine Fuzzy Information Aggregation with Multi-criteria Decision-Making," Springer Books, in: Chiranjibe Jana & Madhumangal Pal & Ghulam Muhiuddin & Peide Liu (ed.), Fuzzy Optimization, Decision-making and Operations Research, chapter 0, pages 281-317, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-35668-1_14
    DOI: 10.1007/978-3-031-35668-1_14
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