Continuous Archimedean t-norms and their bounds☆
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Cited by (6)
Archimedean overlap functions: The ordinal sum and the cancellation, idempotency and limiting properties
2014, Fuzzy Sets and SystemsCitation Excerpt :In other words, an algebraic structure is said to be Archimedean whenever any two non-zero elements are comparable, in the sense that neither of them is infinitesimal with respect to the other. In the context of aggregation functions, the concept of Archimedean t-norms was first studied by Schweizer and Sklar [6], and, since then, Archimedean t-norms have been largely explored in the various works, e.g., by Klement et al. [7], Saminger-Platz [8], Jenei [9,10], Marko and Mesiar [11]. For the context of interval fuzzy logic [12–14], see, e.g., the work by Deschrijver [15].
Aggregation operators: Ordering and bounds
2003, Fuzzy Sets and Systems(T) fuzzy integral of multi-dimensional function with respect to multi-valued measure
2012, Iranian Journal of Fuzzy SystemsAn efficient procedure for solving a fuzzy relational equation with max-Archimedean t-norm composition
2008, IEEE Transactions on Fuzzy SystemsConvergence of powers of a max-convex mean fuzzy matrix
2008, IEEE International Conference on Fuzzy Systems
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Supported by grants GAČR 402990032 and VEGA 1714620, 2608799.
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