区间梯形模糊软集及其相关性质  

Interval-valued trapezoid fuzzy soft set and its properties

作　　者：朱捷[1] 徐源[1] 陈孝国[1] ZHU Jie XU Yuan CHEN Xiaoguo(School of Sciences, Heilongjiang University of Science ＆ Technology, Harbin 150022, China)

机构地区：[1]黑龙江科技大学理学院,哈尔滨150022

出　　处：《黑龙江科技大学学报》2016年第3期332-335,共4页Journal of Heilongjiang University of Science And Technology

基　　金：黑龙江省自然科学基金项目(QC2015055);黑龙江省教育厅科学技术研究项目(12531577);中国矿业大学(北京)博士研究生拔尖创新人才培育基金项目(20150606)

摘　　要：为进一步丰富模糊软集扩展理论,提出了区间梯形模糊软集的定义,并给出交、并、补等运算性质,得到结合律、分配律、对偶律等相关定理并给出证明。该研究成果对区间梯形模糊软集理论完善和实际应用起到一定的促进作用。This paper is an effort to improve the extension study of the fuzzy soft set theory.The study produces the definition of the interval-valued trapezoid fuzzy soft;the operation properties of their intersection union and complementary set;and the relative theorem of its associative law,distributive law,dual law and the proofs.The results could contribute to promote the better application of the interval-valued trapezoid fuzzy soft set theory.

关 键 词：软集 区间梯形模糊数 区间梯形模糊软集 

分 类 号：O159[理学—数学] C934[理学—基础数学]