Branch Mathematics and Statistics Faculty and Staff Publications
Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models
Study of neutrosophic algebraic structures is very recent. The introduction of neutrosophic theory has put forth a significant concept by giving representation to indeterminates. Uncertainty or indeterminacy happen to be one of the major factors in almost all real-world problems. When uncertainty is modeled we use fuzzy theory and when indeterminacy is involved we use neutrosophic theory. Most of the fuzzy models which deal with the analysis and study of unsupervised data make use of the directed graphs or bipartite graphs. Thus the use of graphs has become inevitable in fuzzy models. The neutrosophic models are fuzzy models that permit the factor of indeterminacy. It also plays a significant role, and utilizes the concept of neutrosophic graphs. Thus neutrosophic graphs and neutrosophic bipartite graphs plays the role of representing the neutrosophic models. Thus to construct the neutrosophic graphs one needs some of the neutrosophic algebraic structures viz. neutrosophic fields, neutrosophic vector spaces and neutrosophic matrices. So we for the first time introduce and study these concepts. As our analysis in this book is application of neutrosophic algebraic structure we found it deem fit to first introduce and study neutrosophic graphs and their applications to neutrosophic models.
Hexis, Church Rock
neutrosophic algebraic structures, neutrosophic models, neutrosophic logic
W.B. Vasantha Kandasamy & F. Smarandache. Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models. Church Rock: Hexis, 2004.
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