THE GENERAL THEORY OF FUZZY NEIGHBORHOOD STRUCTURES

Abstract

The notion of ft fussny seli, inl reduced by Lot.fi A. Zadeh ([63]] in ]"f)fin\ has caused great 'nLereat dinoug both pure and applied mathematicians. Et baidsu raised euthiisidMii ainuu^ si une engineers, biologist, phyc.iolog'sts, economists, and exp^E ts ill other areas, who use for at least try to use) mat hem at id: idean jmd 111 el Vi od s :n their research. By this nation of fuz-zy MSI it is possible to obtain a more dial inctive de^cript:on of some phenomena. Hi an the one which h otfered by systcua baicd on classical two-valued logic and classical set. theory TTL t.l e Uv/.v.y RPI. ihiwy there appear linguistic exi-iressmcis MII,II "a person is till]". In the crisp point of view one may say tliat a person is tall jf his height is greater than 185 cm whereas in the fu^wv point of view this property can be determined by a function en a scale ol centimetres with values in the closed ical unit, interval [0, 1]