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We generalized the quadratic fuzzy numbers on ${\mathbb{R}}$ to ${\mathbb{R}}_2$. By defining parametric operations between two regions valued ${\alpha}-cuts$, we got the parametric operations for two triangular fuzzy numbers defined on ${\mathbb{R}}_2$. The results for the parametric operations are the generalization of Zadeh's extended algebraic operations. We generalize the 2-dimensional quadratic fuzzy numbers on ${\mathbb{R}}_2$ that may have maximum value h < 1. We calculate the algebraic operations for two generalized 2-dimensional quadratic fuzzy sets.
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참고문헌 (7)
참고문헌 신청
변지수 / 2013 / Parametric operations for two fuzzy numbers / 대한수학회논문집 28(3):635~642
C. Kang / 2015 / An extension of Zadehs max-min composition operator / International Journal of Mathematical Analysis 9(41):2029~2035
C. Kang / 2017 / A Zadehs max-min composition operator for two 2-dimensional quadratic fuzzy numbers / Far East Journal of Mathematical Sciences 101(10):2185~2193
김창일 / 2015 / Zadeh's extension principle for 2-dimensional triangular fuzzy numbers / 한국지능시스템학회 논문지 25(2):197~202
H. S. Ko / 2018 / An extension of algebraic operations for 2-dimensional quadratic fuzzy number / Far East Journal of Mathematical Sciences 103(12):2007~2015
C. Kang / 2015 / An extension of Zadehs max-min composition operator / International Journal of Mathematical Analysis 9(41):2029~2035
C. Kang / 2017 / A Zadehs max-min composition operator for two 2-dimensional quadratic fuzzy numbers / Far East Journal of Mathematical Sciences 101(10):2185~2193
김창일 / 2015 / Zadeh's extension principle for 2-dimensional triangular fuzzy numbers / 한국지능시스템학회 논문지 25(2):197~202
H. S. Ko / 2018 / An extension of algebraic operations for 2-dimensional quadratic fuzzy number / Far East Journal of Mathematical Sciences 103(12):2007~2015
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