模糊分層模式及其應用

A Fuzzy Stratifying Model and its Applications

黃耀德(Yao-Te Huang)

指導教授 ： 張少同

國立臺灣師範大學/理學院/數學系/碩士(2002年)

摘要

無資料

關鍵字

A fuzzy stratifying model ； HASH(0xc7c8d88) ； HASH(0xc7c949c) ； HASH(0xc7c9514)

並列摘要

A fuzzy stratifying model was suggested by the way of fuzzy relation. It contains a score function to measure the hierarchy
sense for giving responses. The extension concept from discrete to fuzzy sense was clearly investigated on the construction of this model.
In applications,the CSMS team
introduced the concept of hierarchy or level of
understandings. A method was sought by which test items could be grouped to form a 'type' and then the groups ordered to form a chain in such a way that success on a harder group automatically entailed success on all easier groups. Items had to satisfy specific criteria
before they were considered to form a group.
In this paper,
we developed a method to describe the association in fuzzy sense. We
also found some fuzzy ranking ways. Finally we added some constraints on it
and solved the problem of hierarchy concepts. Some related properties were proved also.

並列關鍵字

fuzzy sets ； fuzzy relation ； fuzzy partition ； CSMS

參考文獻

Children's Understanding of Mathematics: 11-16,

Fuzzy Sets and Fuzzy Logic Theorem and Applications,

Fuzzy Set Theorem and Its Applications,

Forth edition, Kluwer Acacemic Publishers, 2001.

Fuzzy Reasoning in Decision making and Optimization,