Fuzzy Metrics in Terms of Fuzzy Relations
نویسندگان
چکیده
In this paper, we study the concept of fuzzy metrics from perspective relations. Specifically, analyze commonly used definitions metrics. We begin by noting that crisp can be uniquely characterized linear order Further, explore criteria relations must satisfy in to determine a metric. Subsequently, extend these conditions obtain metric and investigate additional axioms involved. Additionally, introduce definition an extensional or E-d-metric, which is fuzzification expression d(x,y)=t. Thus, examine both equivalence relation perspectives, where one argument value d(x,y) other number within range [0,+∞).
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ژورنال
عنوان ژورنال: Mathematics
سال: 2023
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math11163528