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A NOTE ON STRATIFIED LM-FILTERS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 11، دوره 10، شماره 4، آبان 2013، صفحه 135-142 اصل مقاله (355.21 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2013.1053 | ||
| نویسنده | ||
| Gunther Jager* | ||
| Department of Statistics, Rhodes University, 6140 Grahamstown, South Africa | ||
| چکیده | ||
| We develop a theory of stratified $LM$-filters which generalizes the theory of stratified $L$-filters. Our stratification condition explicitly depends on a suitable mapping between the lattices $L$ and $M$. If $L$ and $M$ are identical and the mapping is the identity mapping, then we obtain the theory of stratified $L$-filters. Based on the stratified $LM$-filters, a general theory of lattice-valued convergence spaces can be developed. | ||
| کلیدواژهها | ||
| $LM$-filter؛ Stratification؛ Stratified $LMN$-convergence space | ||
| مراجع | ||
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