The solution sets of infinite fuzzy relational equations with sup-conjunctor composition on complete distributive lattices |
| |
| Authors: | Xue-ping Wang Chang Xia |
| |
| Institution: | aDepartment of Mathematics, Sichuan Normal University, Chengdu, Sichuan 610066, People's Republic of China;bDepartment of Mathematics, Yang-En University, Quanzhou, Fujian 362014, People's Republic of China |
| |
| Abstract: | This paper deals with sup-conjunctor composition fuzzy relational equations in infinite domains and on complete distributive lattices. When its right-hand side is a continuous join-irreducible element or has an irredundant continuous join-decomposition, a necessary and sufficient condition describing an attainable solution (resp. an unattainable solution) is formulated and some properties of the attainable solution (resp. the unattainable solution) are shown. Further, the structure of solution sets is investigated. |
| |
| Keywords: | Complete distributive lattice Conjunctor Relational equation Continuous join-irreducible element Irredundant continuous join-decomposition Solution set |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
