m-步p-竞争模糊图  

On the m-step p-competition Fuzzy Graphs

作　　者：李瑞娟[1] 韩晓影 张新鸿[2] LI Ruijuan;HAN Xiaoying;ZHANG Xinhong(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China;Department of Applied Mathematics,Taiyuan University of Science and Technology,Taiyuan 030024,China)

机构地区：[1]山西大学数学科学学院,山西太原030006 [2]太原科技大学应用数学系,山西太原030024

出　　处：《山西大学学报（自然科学版）》2021年第3期498-504,共7页Journal of Shanxi University(Natural Science Edition)

基　　金：山西省优秀青年基金(201901D211197);山西省自然科学基金(201801D121013)。

摘　　要：针对竞争关系的不确定性和复杂性,将m-步p-竞争图和模糊图相结合提出了m-步p-竞争模糊图的概念,进而对它的一些性质进行了研究,包括边是强的一些条件、C_(m)^(p)(D(→))与C_(m)^(j)(D(→))中边隶属值之间的关系、模糊有向图与模糊子有向图之间的关系等,并举例说明其在食物网中的应用。On account of the uncertainty and complexity of competition relation in reality, the concept of m-step p-competition fuzzy graph is proposed by combining m-step p-competition graph and fuzzy graph, and some of its properties are investigated, including the conditions to imply that the edges are strong, the relationship of the edge membership values between C_(m)^(p)(D(→))and C_(m)^(j)(D(→)) the relationship between the fuzzy digraph and the fuzzy subdigraph, and so on. The example is illustrated for its application in food web.

关 键 词：模糊有向图 竞争图 p-竞争模糊图 m-步模糊竞争图 m-步p-竞争模糊图 

分 类 号：O157.6[理学—数学] O159[理学—基础数学]