Abstract
Order appears in all areas related to mathematics and computer science. Given a set in many cases it is desirable to establish a precedence relation between the elements of the set either total or partial. In this paper, we explore an ordering operator for fuzzy numbers that is based on the Zadeh extension principle. This proposal takes into account the intuition of users of Database Management Systems. Our analysis includes a formal proof of these operator’s properties and examples of the applicability of the operator in representative cases that show its suitability for intuition management. Also, an operator implementation in the Haskell and SQL languages is presented. This allows its evaluation in different contexts.
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Acknowledgements
This work is part of the project “Challenges of the Fuzzy Relational Model,” with the support of UNEXPO “Antonio José de Sucre,” Barquisimeto, Venezuela. We thank Professor Carlos Lameda, associate coordinator of this project, and Professor Ralph Grove, a friend in Norfolk, VA, who helped us with the editing of this paper. We also want to thank Him who can order everything, even the fuzziest lives, to whom, together with the Psalmist, we express: “Oh that my ways were ordered to keep thy statutes!” (Psalm 119:5).
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Aguilera, A., Carrasquel, S., Coronado, D. et al. An ordering of fuzzy numbers based on the Zadeh extension principle. Soft Comput 26, 3091–3106 (2022). https://doi.org/10.1007/s00500-021-06470-1
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DOI: https://doi.org/10.1007/s00500-021-06470-1