A soft set is a generalisation of a fuzzy set that is useful for modelling data that is imprecise or ambiguous. Partially ordered sets and lattices are fundamental mathematical structures that are used in a variety of fields, including computer science, engineering, and cryptography. We use soft set theory to apply to lattice theory, and we present the concept of a soft partial ordering, as well as other related concepts. We primarily present the concept of a generalised soft lattice (gs lattice) and look at some of its basic aspects. We also define and investigate the major characteristics of a soft real valued function termed soft valuation on a gs lattice. Furthermore, we examine the concept of a soft distance function in terms of soft valuation, as well as the conditions under which a gs lattice becomes a soft metric lattice, employing that function. Finally, we define a soft topological lattice and explain how a gs lattice with a soft valuation becomes a soft topological lattice.
Author (s) Details
Manju John
Department of Mathematics, Catholicate College, Pathanamthitta-689645, Kerala, India.
D. Susha
Department of Mathematics, Catholicate College, Pathanamthitta-689645, Kerala, India.
View Book :- https://stm.bookpi.org/CTMCS-V5/article/view/2433
No comments:
Post a Comment