Abstract
Lattice theory play an important role in mathematics as well as in other disciplines such as computer science, engineering, cryptography, etc. In this paper, we introduce the concept of generalized soft lattice (gs lattice) and investigate some of its fundamental properties. Further we define soft valuation on a generalized soft lattice (gs lattice) and study its major properties. In the last section we discuss the notion of soft distance function and express it in terms of soft valuation. Here we discuss the notions of soft pseudo metric lattice and soft metric lattice.
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