We study closure operators and closure structures in a fuzzy setting. Our main interest is the monotony condition of closure operators. In a fuzzy setting, the monotony condition may take several particular forms, all of them equivalent in the bivalent case. We study closure operators, called fuzzy closure operators with truth stresser, satisfying the monotony condition which can be linguistica...

The aim of this paper is to extend closure systems from being crisp sets with certain fuzzy properties proper sets. presentation the shows a thorough discussion on different alternatives that could be taken define desired systems. These plausible are discarded if they proven impossible in bijective correspondence operators. Finally, definition system established and one-to-one relation operator...