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- W2045138715 abstract "Abstract In this paper, two new topologies, τ′1,τ′2 on R (L) are constructed. Using τ′i, we produced two L-fuzzy topologies η′i on R(L) other than the L-fuzzy topology T introduced by Hutton. We have proved that η′1 is finer than η′2 and η′2 is finer than T. η′2 is the coarsest among the induced L-fuzzy topologies which are finer than T. We have shown that (LR(L), ηi), the induced space of (R (L), τ′i, possesses many good properties, such as stronger separation, suitability, etc. We proved that closed interval ([a, b] (L), ν2|[a, b] (L)) is closed, connected and N-compact. The addition and multiplication defined on R (L) by Rodabaugh, are still jointly continuous." @default.
- W2045138715 created "2016-06-24" @default.
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- W2045138715 date "1995-12-01" @default.
- W2045138715 modified "2023-09-26" @default.
- W2045138715 title "Two new L-fuzzy topologies on R (L)" @default.
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- W2045138715 doi "https://doi.org/10.1016/0165-0114(94)00365-9" @default.
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