In a world of chaotic alignments, traditional logic with its strict boundaries of truth and falsity has not imbued itself with the capability of reflecting the reality. Despite various attempts to reorient logic, there has remained an essential need for an alternative system that could infuse into itself a representation of the real world. Out of this need arose the system of Neutrosophy (the philosophy of neutralities, introduced by FLORENTIN SMARANDACHE), and its connected logic Neutrosophic Logic, which is a further generalization of the theory of Fuzzy Logic. In this book we study the concepts of Fuzzy Cognitive Maps (FCMs) and their Neutrosophic analogue, the Neutrosophic Cognitive Maps (NCMs). Fuzzy Cognitive Maps are fuzzy structures that strongly resemble neural networks, and they have powerful and far-reaching consequences as a mathematical tool for modeling complex systems. Neutrosophic Cognitive Maps are generalizations of FCMs, and their unique feature is the ability to handle indeterminacy in relations between two concepts thereby bringing greater sensitivity into the results. Some of the varied applications of FCMs and NCMs which has been explained by us, in this book, include: modeling of supervisory systems; design of hybrid models for complex systems; mobile robots and in intimate technology such as office plants; analysis of business performance assessment; formalism debate and legal rules; creating metabolic and regulatory network models; traffic and transportation problems; medical diagnostics; simulation of strategic planning process in intelligent systems; specific language impairment; web-mining inference application; child labor problem; industrial relations: between employer and employee, maximizing production and profit; decision support in intelligent intrusion detection system; hyper-knowledge representation in strategy formation; female infanticide; depression in terminally ill patients and finally, in the theory of community mobilization and women empowerment relative to the AIDS epidemic.

For the first time, the social problem of untouchability, which is peculiar to India, is being studied mathematically.We have used Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps to analyze the views of the revolutionary Periyar E. V. Ramasamy (17.09.1879 24.12.1973) who relentlessly worked for more than five decades to secure the rights of the oppressed people who were considered untouchables. This thought-provoking book will be of great interest to human rights activists, socio-scientists, historians, and above all, mathematicians.From UNESCO citation: Periyar, The Prophet of the New Age, The Socrates of South East Asia, Father of the Social reform Movement and Arch Enemy of Ignorance, Superstition, Meaningless Customs and Baseless Manners.

In this book the authors define, describe, and develop the notion of complex valued graphs, complex neutrosophic valued graphs, and mod complex valued graphs in a systematic way. However complex neural networks have been analyzed and studied as early as 2003. This book gives several applications of them in medical diagnosis, soft computing, and so on.

Neutrosophic cognitive maps and their application in decision-making have become an important subject for researchers and practitioners. Especially, PESTEL analysis based on neutrosophic cognitive maps is a useful method, which permits to analyse specific topics statically. In the present paper strategies for the external factors that contribute to the identification of agricultural contexts in the South-Eastern plain of the province of Pinar del Río, Cuba are studied based on PESTEL analysis and neutrosophic cognitive maps. Here, PEST analysis incorporates Ecological and Legal factors and their characteristics. This study aims to determine which factors affect the agricultural sustainability of the South - Eastern plain of the province of Pinar del Río. The main contribution of the present paper is that it was identified quantitatively the factors that affect the agricultural sustainability, they are, the technological, political and economic ones.

HIV/AIDS is everyones business. Today is more an issue of society, than a matter of medicine In this bold attempt that searches for sociological solutions, the gripping real life stories of sixty migrant labourers living with HIV/AIDS in rural Tamil Nadu, India, have been documented. Their socio-psychological aspects have been analyzed using the latest fuzzy mathematical tools like Fuzzy Cognitive Maps, Bidirectional Associative Memories, and Fuzzy Relational Maps. Because of the need to represent the real world, Neutrosophy (the philosophy of neutralities) and its connected structure, Neutrosophic Cognitive Maps, have been employed for their unique ability to handle indeterminacy between concepts. Presented in a lucid manner, this book is an important contribution to HIV/AIDS literature.