(i,k)-步双极单值中智竞争图  

On the(i,k)-step Bipolar Single Valued Neutrosophic Competition Graphs

作　　者：韩晓影 李瑞娟[1] 张新鸿[2] HAN Xiao-ying;LI Rui-juan;ZHANG Xin-hong(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China;School of Applied Science,Taiyuan University of Science and Technology,Taiyuan 030024,China)

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

出　　处：《太原科技大学学报》2021年第4期327-334,340,共9页Journal of Taiyuan University of Science and Technology

基　　金：山西省自然科学基金(2016011005);山西省自然科学基金(201801D121013)。

摘　　要：双极单值中智竞争图是模糊有向图的竞争图的推广。2018年Akram、Nasir和Shum介绍了m-步双极单值中智竞争图。介绍(i,k)-步双极单值中智有向图和竞争图的概念,给出(i,k)-步双极单值中智竞争图的边是独立强的一个条件,证明对双极单值中智有向图D,它的(i,k)-步双极单值中智有向图的竞争图与它的(i,k)-步双极单值中智竞争图相等,并描述(i,k)-步双极单值中智竞争图在市场竞争中的应用。Bipolar single valued neutrosophic competition graphs are the extension of competition graphs of fuzzy digraphs.In 2018,Akram,Nasir and Shum introduced the m-step bipolar single-valued neutrosophic economic competition graphs.This paper introduces the concepts of(i,k)-step bipolar single valued neutrosophic digraphs and competition graphs,gives the sufficient condition for an edge in an(i,k)-step bipolar single valued neutrosophic competition graph to be independent strong,and proves that for a bipolar single valued neutrosophic digraph D,its competition graph of(i,k)-step bipolar single valued neutrosophic digraph is equal to its(i,k)-step bipolar single valued neutrosophic competition graph.This paper also describes the application of(i,k)-step bipolar single valued neutrosophic competition graphs in market competition.

关 键 词：双极单值中智有向图 竞争图 (i k)-步双极单值中智竞争图 独立强 

分 类 号：O157.6[理学—数学]