模糊Riesz代数的基本性质研究
The Study of Elementary Property of Fuzzy Riesz Algebra
摘要: 本文首先给出模糊Riesz代数的定义，并且研究了模糊Riesz代数中|fg|与|f||g|、(fg)
+与f
+g
++f
-g
-及(fg)
-与f
+g
-+f
-g
+等关系式。接下来介绍了模糊
f代数，并且给出了模糊
f代数中|fg|与|f||g|、(fg)
+与f
+g
++f
-g
-及(fg)
-与f
+g
-+f
-g
+等关系式。最后给出了模糊Riesz代数是模糊
f代数和半素模糊
f代数的充要条件。
Abstract:
At first, the paper defined the fuzzy Riesz algebra and studied the relation of |fg| & |f||g|、(fg)+ & f+g++f-g- and (fg)- & f+g-+f-g+. Moreover, the paper introduced the fuzzy f-algebra, then discussed the relation of |fg| & |f||g|、(fg)+ & f+g++f-g- and (fg)- & f+g-+f-g+. Last, the paper gave the equivalent condition that fuzzy Riesz algebra is fuzzy f-algebra and semiprime fuzzy f-algebra.
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