Topological soft algebra and its application (Q1187467)

Preparata and Yeh introduced the concept of a soft algebra, which is an algebraic system \(\langle K,+,\cdot,-,0,1\rangle\), and which is an algebra based on fuzzy logic. In this paper, the author proposes a soft algebra with closure operation (shortly, a topological soft algebra); some properties of such a system are proved and it is shown that the word problem of topological soft algebra is solvable; finally this result is used to show that a kind of decision problem of a modal fuzzy logic is solvable; furthermore, a solution to this problem is given not only theoretically but also as a procedure.