CAJ | 학술논문

讨论一致模在有界格上的延拓,在有界格上引入收缩核,(r, s)-子格,收缩, e-算子等概念,并且利用收缩与e-算子方法对一致模进行延拓,使延拓后的一致模最大可能地保留原一致模的性质。同时还进一步讨论了一致模的共轭和它的延拓之间的关系。
토론일치모재유계격상적연탁,재유계격상인입수축핵,(r, s)-자격,수축, e-산자등개념,병차이용수축여e-산자방법대일치모진행연탁,사연탁후적일치모최대가능지보류원일치모적성질。동시환진일보토론료일치모적공액화타적연탁지간적관계。
In this paper, the extensions of uninorms are studied. In bounded lattices, the concepts of retract, (r, s)-sublattice, retraction, and e-operator are introduced, the extensions of uninorms via retractions and e-operator on bounded lattices are presented, respectively. Also, the most properties of original uninorms are preserved by the extensions. Furthermore, the relationships between conjugate of uninorms and the extensions of uninorms are discussed.