Kalina, M. Fuzzy smoothness and sequences of fuzzy smooth functions. (English) Zbl 0955.26011 Fuzzy Sets Syst. 105, No. 2, 233-239 (1999). Summary: This paper is a continuation of the work [M. Kalina, Tatra Mt. Math. Publ. 14, 153-159 (1998; Zbl 0944.26030)]. It further investigates fuzzy smoothness of fuzzy continuous, but crisp, functions. Finally, sequences of fuzzy smooth functions and their sums are considered. Cited in 7 Documents MSC: 26E50 Fuzzy real analysis 26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems 03E72 Theory of fuzzy sets, etc. Keywords:fuzzy derivative; fuzzy continuity; fuzzy smoothness PDF BibTeX XML Cite \textit{M. Kalina}, Fuzzy Sets Syst. 105, No. 2, 233--239 (1999; Zbl 0955.26011) Full Text: DOI References: [1] Burgin, M.; Šostak, A., Fuzzification of the theory of continuous functions, Fuzzy sets and systems, 62, 71-81, (1994) · Zbl 0828.26015 [2] Dubois, D.; Prade, H., Towards fuzzy differential calculus, part 1: integration of fuzzy mappings, Fuzzy sets and systems, 8, 1-17, (1982) · Zbl 0493.28002 [3] Dubois, D.; Prade, H., Towards fuzzy differential calculus, part 2: integration on fuzzy intervals, Fuzzy sets and systems, 8, 105-116, (1982) · Zbl 0493.28003 [4] Dubois, D.; Prade, H., Towards fuzzy differential calculus, part 3: differentiation, Fuzzy sets and systems, 8, 225-233, (1982) · Zbl 0499.28009 [5] Janiš, V., Fixed points of fuzzy functions, Tatra mountains math. publ., 12, 13-19, (1997) · Zbl 0946.54036 [6] Janiš, V., Fuzzy uniformly continuous functions, Tatra mountains math. publ., 14, 177-180, (1998) · Zbl 0944.26029 [7] V. Janiš, Nearness derivatives and fuzzy differentiability, Fuzzy Sets and Systems, to appear. [8] Kalina, M., Derivatives of fuzzy functions and fuzzy derivatives, Tatra mountains math. publ., 12, 27-34, (1997) · Zbl 0951.26015 [9] Kalina, M., On fuzzy smooth functions, Tatra mountains math. publ., 14, 153-159, (1998) · Zbl 0944.26030 [10] Mesiar, R., Computation over LR-fuzzy numbers, (), 165-176 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.