الفهرس Only 14 pages are availabe for public view
 |  | from | 123 |  |  |
| | | from | 123 | | |
Abstract
Sill the introdu tor f paper of Lo Ii A Za lllb.IGOI sigllific, lit strides have been
made in the marh mar! of fuzz]’ subsee , Much ofbhis marhomancal dov lopmont
has baenln I’ asing’ cat ”’orl~l in nntur pattiollla.rl” ln 11 er il of Lo’ end
T pology, 3$ IV II as in tIle 0” rial’ of these ””0 areas.
Witb resp . to Ibpology. fw,zJ ~ct theory Ires b appljed much ,in ’ hang
mrroduced his nouon of fuz,zy IOIJ logy in [221. Hll.-al orlier authors nunued th
lnvestlgatlon of such paces such Eklund ilwl Gabler [2:5j, Et’eE>g1261 G’ihll’lr ot
al. (2 ’ 20, ;l0, 31. 32], Gogu 11 [3J], G twuld [35J Kllleva {Ill I S ikkala [42j, TVlndll
t al, 143, 44]. l{atsnrns and P alas [4.7], wen ~9 50, 51, 521and Wong i5 I. 111
Goguen’ Pi p !’ [341. he ’Oil ideJoJ M valu”S of ”h~ fin”y ~r..~ no OJ:l!~’ lcment$ of
the closed unit illt rvnl bu etueuts of Win more g neral latti L. A fllzzific tiou
f th -Ia icnl proxhnl . ’ is ] wer glv 11 bv AI’ Icc 1’I11d 1\’101’ ’0 [. , 4). GabIr llt al.
!31] Bayoullli [191 lind I~ Katsaras ~451. Also, the uniform pace [5il have boon
demlopfld into th;!. fuzz.y C:l~ in [s, , 17. 2(J, 32. 411_ I’ll mer-de sp, o hll. been
’ooner1’llized to die fu~zy as in 12U ’29. 421_ Also mueh lnr I’ st Illlio been shown to
generalize SEparatioll axloms to fuZl;j’ separation axioms [1’, ,. 10,11. l2, 13, ,UI,
’Ill notion of topologiCill”rollp$ 13 ,-WI was 0116 f the irems that mnn • lUJtlJ()!\S
tried to lm::r, luce and .t\1dr in the fIlm’,)’ case su h as in [2 21’]. In [27], Foster
brought ~ It t the ru rur offuzzy . J) logi. ;j I pn gl.vel! I}’ Low n 1>191and
tl 5 ru tur of fu(;z’Y group h d tin b~ himself. ’1’1\ fllu’ top ~OgicuJ group
( ”T) ill [21 i. d fined LoyAIl.Sa!lullall as an ordinary gTOul’ G equipped with. flVfiZY
topolog ’T n G such tll~ til biliary opers ion and cb unery Ol~r(ltiol’l 01 vJl
inv T!;’¢ ar fllU>}’ OOI).tjl)~IOl,lw$ith r ’p ’r r.oT.
The main 110ti It of til’ rh i. is h no ion of fliZilY topQlogirn.l gr lip. W stud
,hi. fuzz’ topological !rI’OUp and mvestizor in; rnlatiou ’lt~lthe fml2,y separation
axloms (sp ’”all’ b fuzz • ) !lOll a.xiOlll), he f”u7,zy unllorm sp th [Ill.ll·
pro.xir:uity .’:pt\GIJS and th’ Iuzzv rn trie HI:t ’~, Th fuzzy ’l’a,rlltiOIl aX’iOtUS aud
III fuszy uniform sp . . which w 11 her, ”I’ defined II in’ the notion of fuzzy
flit I”. This 11000JI of fll7.zr filter hnsb ’1 imwducOO in 12[; :2 I. B. I ”learlSor thi:.l
fllZ’fi riltel’ a poln based approach 10 fU7U.y WPOII)gy r lared to lbSu,,1 pom has
b IJ dcv loped [. ,301, F r ilgJ: II) n· I asons ”’-it.1l he fuar fill ’* PI’ f rred
II notion of fUilZY topologlcal gr \Ill defin b)’ Ahsannllah in !21-
III 138) muclt pro m wa Iliad In ~t{Jl1dl1IdiZiI terrnin log~ ill th IV-all disil~
lln’ of ftl’lD.y topoleg ’. In particular, the noterton presented ill [39. 56}, rea hed.