ON STRATIFIED LATTICE-VALUED CONVERGENCE SPACES

Jager, Gunther

doi:10.22111/ijfs.2017.3503

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	ON STRATIFIED LATTICE-VALUED CONVERGENCE SPACES
Iranian Journal of Fuzzy Systems
مقاله 10، دوره 14، شماره 6، اسفند 2017، صفحه 149-164 اصل مقاله (445.51 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2017.3503
نویسنده
Gunther Jager^*
School of Mechanical Engineering, University of Applied Sciences Stralsund, D-18435 Stralsund, Germany
چکیده
In this paper we provide a common framework for different stratified $LM$-convergence spaces introduced recently. To this end, we slightly alter the definition of a stratified $LMN$-convergence tower space. We briefly discuss the categorical properties and show that the category of these spaces is a Cartesian closed and extensional topological category. We also study the relationship of our category to the categories of stratified $L$-topological spaces and of enriched $LM$-fuzzy topological spaces.
کلیدواژه‌ها
Lattice-valued convergence؛ $LM$-convergence space؛ Stratified $LMN$-convergence tower space؛ Stratified $LM$-filter؛ Stratified $L$-topological space؛ Enriched $LM$-fuzzy topological space

مراجع
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ON STRATIFIED LATTICE-VALUED CONVERGENCE SPACES