Recently, J. T. Denniston, A. Melton, and S. E. Rodabaugh introduced a lattice-valued analogue of the concept of institution of J. A. Goguen and R. M. Burstall, comparing it, moreover, with theâ€¦ (More)

Given a concrete category (A, U) over X, the paper presents a fuzzification scheme of algebraic and topological structures over the category X(A) of A-valued X-objects with a fixed basis A.

Following the point-set lattice-theoretic (poslat) approach to topology of S. E. Rodabaugh [11], we introduced a more general way to do categorical (fuzzy) topology under the name ofâ€¦ (More)

This talk aims at presenting a new way of approaching topological structures, induced by recent developments in the eld of lattice-valued topology, and deemed to incorporate in itself both crisp andâ€¦ (More)

Since the inception of the notion of fuzzy topology much attention was paid to the possible means of interaction between fuzzy and crisp topological settings, in order to see whether fuzzy topologyâ€¦ (More)

Motivated by the recent developments in the theory of lattice-valued topology, the talk will present a new framework for studying topological structures. The approach is based on category theory andâ€¦ (More)

While the study of quantale-like structures goes back up to the 1930â€™s (notwithstanding that the term itself was introduced in [2] in connection with certain aspects of Câˆ—-algebras), there hasâ€¦ (More)