【摘要】：利用L-fuzzy拓?fù)淇臻g中的r-擬半開(kāi)L-集和r-擬半閉L-集,定義擬半連續(xù)映射、擬半開(kāi)映射、擬半閉映射、擬半不定映射、擬半不定開(kāi)映射和擬半不定閉映射,證明了每個(gè)擬連續(xù)映射都是擬半連續(xù)映射,每個(gè)擬開(kāi)(擬閉)映射都是擬半開(kāi)(擬半閉)映射,每個(gè)擬半不定映射都是擬半連續(xù)映射,并給出上述映射的等價(jià)刻畫(huà).
[Abstract]:Using r-quasi semi-open L- set and r-quasi semi-closed L- set in L-fuzzy topological space, we define quasi-semi-continuous mapping, quasi-semi-open mapping, quasi-semi-closed mapping, quasi-semi-indeterminate open mapping and quasi-semi-indeterminate closed mapping. It is proved that every quasi continuous mapping is quasi semicontinuous mapping, every quasi open (quasi closed) mapping is quasi semi open (quasi semi closed) mapping, and every quasi semi semicontinuous mapping is quasi semicontinuous mapping, and the equivalent characterizations of the above mappings are given.
【作者單位】： 牡丹江師范學(xué)院數(shù)學(xué)科學(xué)學(xué)院;國(guó)家科技基礎(chǔ)條件平臺(tái)中心;北京北方車(chē)輛集團(tuán)有限公司;
【基金】：國(guó)家自然科學(xué)基金(批準(zhǔn)號(hào):M1551001) 牡丹江師范學(xué)院青年學(xué)術(shù)骨干項(xiàng)目(批準(zhǔn)號(hào):GG2017002)
【分類(lèi)號(hào)】：O189.11

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