In this paper, we consider two different definitions of adjacency in fuzzy graph. Thus any graph theory concept that can be defined through adjacency can have two different variations in fuzzy graph theory. We demonstrate this fact through perfect graph and perfect graph theorem. Thus in the case of fuzzy graphs we have two independent concepts: perfect fuzzy graphs and precise perfect fuzzy graphs.
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Seoul Natl Univ, Dept Math Sci, Seoul 151747, South KoreaSeoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
Kahng, Byeong Hoon
Kang, Seok-Jin
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Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
Seoul Natl Univ, Res Inst Math, Seoul 151747, South KoreaSeoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
Kang, Seok-Jin
Kashiwara, Masaki
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Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, JapanSeoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
Kashiwara, Masaki
Suh, Uhi Rinn
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Seoul Natl Univ, Res Inst Math, Seoul 151747, South KoreaSeoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea