Abstract
Recently, monometrics have attracted interest for their applications in fields such as decision making, penalty-based aggregation, and binary classification. In this work, we investigate various distance functions defined in the literature using fuzzy logic connectives and examine if and when they are monometrics on the unit interval. Further, taking a cue from the construction of distance functions using fuzzy implications, we offer a way to construct distance functions from monotonic fuzzy logic connectives using fuzzy negation and examine the conditions under which they yield a metric and a monometric on a partially ordered set.
Supported by SERB under the project MTR/2020/000506.
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The third author would like to acknowledge the support obtained from SERB under the project MTR/2020/000506 for the work contained in this submission.
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Nanavati, K., Gupta, M., Jayaram, B. (2023). A Study of Monometrics from Fuzzy Logic Connectives. In: Massanet, S., Montes, S., Ruiz-Aguilera, D., González-Hidalgo, M. (eds) Fuzzy Logic and Technology, and Aggregation Operators. EUSFLAT AGOP 2023 2023. Lecture Notes in Computer Science, vol 14069. Springer, Cham. https://doi.org/10.1007/978-3-031-39965-7_54
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DOI: https://doi.org/10.1007/978-3-031-39965-7_54
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