Int-Soft Filters and Their Congruences on Residuated Lattices
Abstract: The aim of this paper is to study filters on residuated lattices associated with soft sets. By intro-ducing the notion of tip-extended pair of soft sets, a bounded distributive lattice based on the sets of all int-soft filters is formed, a one-to-one correspondence between the set of all int-soft filters and the set of all int-soft congruences is established, and a quotient residuated lattice with respect to int-soft filter is induced.
文章引用: 林春鑫 , 马振明 (2017) 剩余格上的交软滤子与交软同余。 运筹与模糊学， 7， 37-44. doi: 10.12677/ORF.2017.72005
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