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Fuzzzy Functions and Fuzzy Partially Ordered set
허걸,정효미,이왕로 한국지능시스템학회 2009 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.9 No.4
By using the notion of fuzzy functions introduced by Dib and Youssef, we obtain fuzzy analogues of some results concerning ordinary functions. In particular, we give the denition dierent from one of invertible fuzzy function introduced by Dib and Youssef. And we show that the two denitions are equivalent. Furthermore, we introduce the concepts of fuzzy increasing functions and fuzzy isomorphisms, and we obtain fuzzy analogues of many results concerning ordinary increasing functions and isomorphisms.
Intutionistic fuzzy G-congruences
허걸,김혁진,류대희 한국지능시스템학회 2007 한국지능시스템학회논문지 Vol.17 No.1
We introduce the concept of intuitionistic fuzzyG-equivalence relations (congruence), and we obtain some results. Fur-thermore, we prove thatIFCG(K)is isomorphic toIFN(K)for any groupK. Also, we prove that(IFCG;(; )= ;)and (IFNG(; )(K);)are isomorphic.
Intuitionistic Fuzzy G-Equivalence Relations and G-Congruences on a Groupoid
허걸,이건창,임평기 한국지능시스템학회 2008 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.8 No.4
Weinvestigatetheimagesandpreimagesofintuitionisticfuzzy G-equivalencerelationsand G-congruences under productmappings.
Intuitionistic Fuzzy Ideals of a Ring
허걸,장수연,Hee Won Kang 한국수학교육학회 2005 純粹 및 應用數學 Vol.12 No.3
We introduce the notions of intuitionistic fuzzy prime ideals, intuition- istic fuzzy completely prime ideals and intuitionistic fuzzy weakly completely prime ideals. And we give a characterization of intuitionistic fuzzy ideals and establish relationships between intuitionistic fuzzy completely prime ideals and intuitionistic fuzzy weakly completely prime ideals.
Intuitionistic fuzzy idelas and bi-ideals
허걸,Kwang Jin Kim,Hyeong Kee Song 호남수학회 2004 호남수학학술지 Vol.26 No.3
In this paper, we apply the concept of intuitionistic fuzzy sets to theory of semigroups. We give some properties of intuitionistic fuzzy ideals and intuitionistic fuzzy bi-ideals, and characterize which is left [right] simple, left [right] duo and a semilattice of left [right] simple semigroups or another type of semigroups in terms of intuitionistic fuzzy ideals and intuitionistic fuzzy bi-ideals.