FUZZY ALGEBRAIC-VARIETIES

被引：11

作者：

MORDESON, JN ^{[1
]}

机构：

[1] CREIGHTON UNIV,DEPT MATH & COMP SCI,OMAHA,NE 68178

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 1993年 / 23卷 / 04期

关键词：

FUZZY IDEAL; FUZZY ALGEBRAIC VARIETY; FUZZY PRIMARY REPRESENTATION; IRREDUCIBLE; FUZZY NONLINEAR SYSTEM OF EQUATIONS;

D O I：

10.1216/rmjm/1181072497

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concept of a fuzzy algebraic variety is introduced in order to bring the current knowledge of fuzzy commutative ring theory to bear on the solution of nonlinear systems of equations of fuzzy singletons. It is shown for every finite-valued fuzzy ideal A of a polynomial ring in several indeterminates over a field with A(0) = 1 that the fuzzy algebraic variety of A can be expressed as a union of fuzzy irreducible algebraic varieties, no one of which is contained in the union of the others.

引用

页码：1361 / 1377

页数：17

共 19 条

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