Mathematical Principles of Fuzzy Logic

By Vilém Novák, I. Perfilieva, J. Močkoř. 1999

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Fuzzy Logic as Agents' Knowledge Representation in A-Trader System (2015, background): “[33] states that the theory of fuzzy logic is a language which attempts to describe and analyze complex systems, systems of ill-defined mathematical and physical phenomena with accurate mathematical models.”
Artificial intelligence in business: State of the art and future research agenda (2020, methodology): “That is, using the Fuzzy logic, the truth value of a variable may be any real number between 0 and 1 (e.g., Novák, Perfilieva, & Močkoř, 1999 ).”
On a Convex Logic Fragment for Learning and Reasoning (2018, methodology): “ objective functions, which are to be thought of as predicates or as any{arity relations. Since the algebra of L -formulas on nvariables is isomorphic to the algebra of functions from [0;1]n to [0;1] [29], we can translate formulas into functions in a very natural way. In particular, the zero formul”
Information fusion for wireless sensor networks: Methods, models, and classifications (2007, background): “Fuzzy logic generalizes probability [Banon 1981] and therefore is able to deal with approximate reasoning [Nov´ ak et al. 1999] to draw (possibly imprecise) conclusions from imprecise premises.”