﻿ 剩余格上的交软滤子与交软同余

# 剩余格上的交软滤子与交软同余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.

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