On the Evolution of the Mathematics of Fuzziness
作者： Etienne Kerre
DOI: 10.1007/978-1-4615-2357-4_1
关键词: Generalization 、 Mathematical economics 、 Mathematical structure 、 Development (topology) 、 Applied mathematics 、 Mathematics 、 Fuzzy set 、 Process (engineering) 、 Group (mathematics) 、 Neighbourhood system 、 Fuzzy number
摘要: Since the publication in 1965 of seminal paper “Fuzzy Sets” by L.A. Zadeh, mathematicians started to fuzzify classical mathematical structures. Three stages can be considered: firstly straightforward fuzzification during seventies, secondly explosion possible choices generalization process eighties and currently standardization, axiomatization L-fuzzification. In this contribution we will illustrate these three many examples outline stimulating role fuzzy set theory expansion mathematics. Most illustrative different development mathematics fuzziness are taken from results our research group past twenty years.
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