SEMIGRUP PRIMA FUZZY PENUH; ( ON FULLY FUZZY PRIME SEMIGROUPS )

Abdurahim, Yeni Susanti

2015 | Disertasi | FMIPA

A fuzzy membership function is a function that maps the nonempty set X to a closed interval [0; 1]. Furthermore, if the function domain is replaced with a semigroup, then the function is called fuzzy subset. A fuzzy subset mapping S to 1 is denoted by CS. A fuzzy subset f is called fuzzy ideal if it satisfies both CS ? f ? f and f ? CS ? f. Moreover, f is called a fuzzy prime ideal if for any fuzzy ideal g and h, with g ? h ? f implies g ? f or h ? f. Furthermore, a fully fuzzy prime semigroup is a fuzzy semigroup which its ideals are fuzzy prime ideal. Furthermore, in this paper be investigated about some characteristics of prime fuzzy ideals. In this paper will also be investigated the characteristics of fully fuzzy prime semigroups and semigroups which any of its fuzzy right ideal is prime.

Kata Kunci : N