社会学科学学院学术报告：Generalized Hypothetical Syllogism in Fuzzy Logic
告知题目：Generalized Hypothetical Syllogism in Fuzzy Logic
There are many reasoning schemas (rules of inferences) in classical logic, like modus (ponendo) ponens, modus (tollendo) tollens, scheme of disjunctive reasoning, law of contraposition, reduction to absurdity, hypothetical syllogism, etc. They are also used in approximate reasoning and/or fuzzy control. In many applications of fuzzy logic, choosing the right operation in a given inference rule is crucial. One of such rules is hypothetical syllogism. In fuzzy logic, generalized hypothetical syllogism can be expressed either as inequality (HS) from T-transitivity, or (GHS) involving Zadeh's compositional rule of inference (CRI). In our talk we consider both generalizations of hypothetical syllogism. In particular, we investigate fuzzy implications satisfying (GHS), which belong to well-known families of fuzzy implications, especially R-implications.
Michał Baczyński，波兰西里西亚大学讲课，重点从事聚合算子、混淆蕴涵、近似推理与函数方程等世界的研讨。IEEE计算智能协会(IEEE CIS)、拉美模糊逻辑与艺术协会(EUSFLAT)、国际模糊系统协会(IFSA)、波兰数学学会(PTM)、波兰化工协会(PSSI)委员，是国际学术期刊“International Journal of Approximate Reasoning”的海域编辑，也是国际权威期刊 “Fuzzy Sets and Systems”， “Advances in Fuzzy Systems”和“Journal of Nonlinear Sciences and Applications”的工会成员。