Fuzzy Theory Presented by Gao Xinbo E.E.Dept. Xidian University
Fuzzy Theory Presented by Gao Xinbo E.E. Dept. Xidian University
OUTLINE ●Motivation ●History ●Fuzzy Sets ·Fuzzy Logic ·Fuzzy System
OUTLINE ⚫ Motivation ⚫ History ⚫ Fuzzy Sets ⚫ Fuzzy Logic ⚫ Fuzzy System
Motivation ●The term "fuzzy logic?”refers to a logic of approximation. Boolean logic assumes that every fact is either entirely true or false. Fuzzy logic allows for varying degrees of truth. Computers can apply this logic to represent vague and imprecise ideas,such as "hot","tall or "balding
Motivation ⚫ The term “fuzzy logic” refers to a logic of approximation. ⚫ Boolean logic assumes that every fact is either entirely true or false. ⚫ Fuzzy logic allows for varying degrees of truth. ⚫ Computers can apply this logic to represent vague and imprecise ideas, such as “hot” , “tall” or “balding
History The precision of mathematics owes its success in large part to the efforts of Aristotle and the philosophers who preceded him. Their efforts led to a concise theory of logic and mathematics. The "Law of the Excluded Middle,"states that every proposition must either be True or False. There were strong and immediate objections.For example,Heraclitus proposed that things could be simultaneously True and not True
History ⚫ The precision of mathematics owes its success in large part to the efforts of Aristotle and the philosophers who preceded him. ⚫ Their efforts led to a concise theory of logic and mathematics. ⚫ The “Law of the Excluded Middle,” states that every proposition must either be True or False. ⚫ There were strong and immediate objections. For example, Heraclitus proposed that things could be simultaneously True and not True
History Plato laid a foundation for what would become fuzzy logic,indicating that there was a third region (beyond True and False)where these opposites“tumbled about.”(非此即彼) The modern philosophers,Hegel,Marx,and Engels,echoed this sentiment. Lukasiewicz proposed a systematic alternative to the bi-valued logic of Aristotle
History ⚫ Plato laid a foundation for what would become fuzzy logic, indicating that there was a third region (beyond True and False) where these opposites “tumbled about.”（非此即彼） ⚫ The modern philosophers, Hegel, Marx, and Engels, echoed this sentiment. ⚫ Lukasiewicz proposed a systematic alternative to the bi-valued logic of Aristotle