標題: | EXTENDED LATTICE-ORDERED STRUCTURES FOR L-FUZZY SETS AND L-FUZZY NUMBERS |
作者: | HSUEH, YC 交大名義發表 資訊工程學系 National Chiao Tung University Department of Computer Science |
關鍵字: | L-FUZZY SET;L-FUZZY NUMBER;GENERALIZED EXTENSION PRINCIPLE;EXTENDED OPERATION;EXTENDED STRUCTURE;CLC-MONOID, DLC-MONOID, TC-GROUP |
公開日期: | 25-二月-1993 |
摘要: | An L-fuzzy set A is a mapping of a set X into another set L. The set L is called the true set of A and X is called the universe of A. It has been discussed that a better structure for the truth set L is a complete lattice-ordered monoid. Then operations on L can be directly extended to operate on L(X) and a complete lattice-ordered monoid can be obtained. In this paper, we consider operations on L(X) which are extended from operations on X by the extension principle. We will obtain a similar complete lattice-ordered monoid constituted by extended operations. Moreover, a notion of L-fuzzy numbers is proposed. Then, extended operations on L-fuzzy numbers are discussed and a distributively lattice-ordered structure is developed for L-fuzzy numbers. |
URI: | http://hdl.handle.net/11536/3115 |
ISSN: | 0165-0114 |
期刊: | FUZZY SETS AND SYSTEMS |
Volume: | 54 |
Issue: | 1 |
起始頁: | 81 |
結束頁: | 90 |
顯示於類別: | 期刊論文 |