Spanning Tree Problem with Neutrosophic Edge Weights

被引:13
|
作者
Broumi, Said [1 ]
Bakali, Assia [2 ]
Talea, Mohamed [1 ]
Smarandache, Florentin [3 ]
Dey, Arindam [4 ]
Le Hoang Son [5 ]
机构
[1] Univ Hassan 2, Fac Sci Ben MSik, Lab Informat Proc, BP 7955, Casablanca, Morocco
[2] Ecole Royale Navale, Blvd Sour Jdid,BP 16303, Casablanca 16303, Morocco
[3] Univ New Mexico, Dept Math, 705 Gurley Ave, Gallup, NM 87301 USA
[4] Saroj Mohan Inst Technol, Hooghly, W Bengal, India
[5] Vietnam Natl Univ, VNU Univ Sci, Hanoi, Vietnam
关键词
Single valued neutrosophic sets; neutrosophic matrix; score function; minimum spanning tree problem;
D O I
10.1016/j.procs.2018.01.114
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Neutrosophic set and neutrosophic logic theory are renowned theories to deal with complex, not clearly explained and uncertain real life problems, in which classical fuzzy sets/models may fail to model properly. This paper introduces an algorithm for finding minimum spanning tree (MST) of an undirected neutrosophic weighted connected graph (abbr. UNWCG) where the arc/edge lengths are represented by a single valued neutrosophic numbers. To build the MST of UNWCG, a new algorithm based on matrix approach has been introduced. The proposed algorithm is compared to other existing methods and finally a numerical example is provided (c) 2018 The Authors. Published by Elsevier B.V.
引用
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页码:190 / 199
页数:10
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