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Novel Hamacher Aggregation Operators Based on Complex T-Spherical Fuzzy Numbers for Cleaner Production Evaluation in Gold Mines

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Abstract

Cleaner production (CP) is defined as a preventive approach to managing the environmental effect of business processes and products. CP is also related to the use of less but more efficient energy and materials and the substitution of products harmful to the environment/health with less dangerous ones. The Hamacher Aggregation (HA) operator is an easy technique that permits several comparison declarations to be prepared while yet securing an overall confidence coefficient is sustained. The major benefit of HA operator based on Hamacher t‐norm and Hamacher t‐conorm is that they provide a lot of specific aggregation operators due to their parameters included in the mathematical form of HA operator. Another hand, the conception of complex T-spherical fuzzy (CTSF) strategy is a novel and original technique that exists with a well-known theme and advantages in the circumstance of fuzzy set theory. The key influence of this hypothesis is to evaluate the conception of Hamacher operational laws and their influential results. Moreover, the theory of CTSF Hamacher weighted averaging (CTSFHWA) and CTSF Hamacher weighted geometric (CTSFHWG) operators and described their influential properties with several strong results. Moreover, a strategic decision-making technique is evaluated in the existence of the deliberated operators for CTSF settings. Finally, to check the stability and accurateness of the invented operators, we assessed the comparative analysis and geometrical shape of the presented works with the help of many numerical illustrations.

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Acknowledgment

The author Lemnaouar Zedam is supported by the Arab Fund for Economic and Social Development [Arab Fund Fellowship Program, Grant No. 993/2022].

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Authors and Affiliations

  1. Laboratory of Pure and Applied Mathematics, Department of Mathematics, University of M’sila, M’sila, Algeria

    Lemnaouar Zedam

  2. Department of Statistics, Faculty of Science, Selcuk University, Konya, Turkey

    Nimet Yapici Pehlivan

  3. Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad, Pakistan

    Zeeshan Ali & Tahir Mahmood

Authors
  1. Lemnaouar Zedam
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  2. Nimet Yapici Pehlivan
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  3. Zeeshan Ali
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  4. Tahir Mahmood
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Correspondence to Lemnaouar Zedam.

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Zedam, L., Pehlivan, N.Y., Ali, Z. et al. Novel Hamacher Aggregation Operators Based on Complex T-Spherical Fuzzy Numbers for Cleaner Production Evaluation in Gold Mines. Int. J. Fuzzy Syst. 24, 2333–2353 (2022). https://doi.org/10.1007/s40815-022-01262-7

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  • DOI: https://doi.org/10.1007/s40815-022-01262-7

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