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Novel applications of bipolar single-valued neutrosophic competition graphs 被引量:2
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作者 Muhammad Akram Maryam Nasir K.P.Shum 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2018年第4期436-467,共32页
Bipolar single-valued neutrosophic models are the generalization of bipolar fuzzy models. We first introduce the concept of bipolar single-valued neutrosophic competition graphs. We then, discuss some important propos... Bipolar single-valued neutrosophic models are the generalization of bipolar fuzzy models. We first introduce the concept of bipolar single-valued neutrosophic competition graphs. We then, discuss some important propositions related to bipolar single-valued neutrosophic competition graphs. We define bipolar single-valued neutrosophic economic competition graphs and m-step bipolar single-valued neutrosophic economic competition graphs. Further, we describe applications of bipolar single-valued neutrosophic competition graphs in organizational designations and brands competition. Finally, we present our improved methods by algorithms. 展开更多
关键词 bipolar single-valued neutrosophic digraphs m-step bipolar single-valued neutrosophic economic competition graphs algorithm
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A New Method to Evaluate Linear Programming Problem in Bipolar Single-Valued Neutrosophic Environment
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作者 Jamil Ahmed Majed G.Alharbi +1 位作者 Muhammad Akram Shahida Bashir 《Computer Modeling in Engineering & Sciences》 SCIE EI 2021年第11期881-906,共26页
A bipolar single-valued neutrosophic set can deal with the hesitation relevant to the information of any decision making problem in real life scenarios,where bipolar fuzzy sets may fail to handle those hesitation prob... A bipolar single-valued neutrosophic set can deal with the hesitation relevant to the information of any decision making problem in real life scenarios,where bipolar fuzzy sets may fail to handle those hesitation problems.In this study,we first develop a new method for solving linear programming problems based on bipolar singlevalued neutrosophic sets.Further,we apply the score function to transform bipolar single-valued neutrosophic problems into crisp linear programming problems.Moreover,we apply the proposed technique to solve fully bipolar single-valued neutrosophic linear programming problems with non-negative triangular bipolar single-valued neutrosophic numbers(TBSvNNs)and non-negative trapezoidal bipolar single-valued neutrosophic numbers(TrBSvNNs). 展开更多
关键词 bipolar single-valued neutrosophic numbers score function trapezoidal numbers linear programming
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(i,k)-步双极单值中智竞争图
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作者 韩晓影 李瑞娟 张新鸿 《太原科技大学学报》 2021年第4期327-334,340,共9页
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... 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。 展开更多
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
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