The productivity classes of fuzzy topologies

Mashhour, A. S.; Ghanim, M. H.; El-Wakeil, A. N.; Morsi, Nehad N.

doi:10.1016/0165-0114(93)90173-f

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Cited by 6 publications

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“…Another deviation from general topology : The formula I'IAx = i-lAx generally does not hold for L-fuzzy X X subsets Ax of L-fuzzy t0pological spaces (Xx, rx), A 6 A. This and some related questions were thoroughly studied in [136,137], although in the special case L = I and when the number of factors is finite. In particular, it is shown in [136] that, given two I-fuzzy spaces (XI,rl) and (X2,7"2), the equality A1 x As = A1 x A2 holds for any fuzzy subsets Ai E I Xi, i = 1,2, iff the following three conditions are fulfilled :…”

Section: Jej J~j In the Case Where L Is Equipped With An Involution mentioning

confidence: 96%