Cylindrical neutrosophic single-valued number and its application in networking problem, multi-criterion group decision-making problem and graph theory

CAAI Transactions on Intelligence Technology

article

Avishek Chakraborty¹  Sankar Prasad Mondal³  Shariful Alam²  Animesh Mahata⁴ 

[1] Department of Basic Science, Narula Institute of Technology;Department of Mathematics, Indian Institute of Engineering Science and Technology;Department of Applied Science, Maulana Abul Kalam Azad University of Technology;Mahadevnagar High School

关键词: decision making;    fuzzy set theory;    trees (mathematics);    operations research;    number theory;    single-valued number;    networking problem;    multicriterion group decision-making problem;    indeterminacy;    falsity functions;    logical representation;    innovative graphical representation;    critical path model problem;    minimal spanning tree problem;    cylindrical neutrosophic ambiance;    cylindrical neutrosophic domain;    neutrosophic arena;    neutrosophic fuzzy numbers;    graph theory;    C1140E Game theory;    C1160 Combinatorial mathematics;    C1290 Applications of systems theory;   

DOI  :  10.1049/trit.2019.0083

学科分类：数学（综合）

来源: Wiley

【 摘 要 】

In this study, the authors envisage the neutrosophic number from various distinct rational perspectives and viewpoints to give it a look of a conundrum. They focused and analysed neutrosophic fuzzy numbers when indeterminacy and falsity functions are dependent on each other, which serves an indispensable role for the uncertainty concept. Additionally, the idea of cylindrical neutrosophic single-valued number is focused here, when the indeterminacy and falsity functions are dependent to each other using an influx of different logical and innovative graphical representation. They also developed the score and accuracy function for this particular cylindrical neutrosophic single-valued number and analysed some real-life problems like networking critical path model problem and minimal spanning tree problem of operation research field when the numbers are in cylindrical neutrosophic ambiance. They also introduced a multi-criterion group decision-making problem in this cylindrical neutrosophic domain. This noble thought will help us to solve a plethora of daily life problems in the neutrosophic arena.

【 授权许可】

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