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Application of fuzzy logic to control theory became successful and revolutionary. Its applications to data analysis, artificial intelligence and computational intelligence are intensively developed. Using fuzzy theory one can provide exact representation of concepts and relations that are vague. On the theoretical side fuzzy theory is applied to a variety of mathematical fields such as analysis, algebra, topology, graph theory, optimization and many branches of operations research. The aim of this book is to enrich the theoretical development of fuzzy sets and to apply the concepts of fuzzy...

The thoughts inside the human brain for learning, understanding, and describing are imprecise. The boundaries of these concepts are not precisely defined. Therefore, judging and rationalizing that develop from the human brain also become uncertain. Although the usage of neutrosophic and other hybrid sets in psychology is evident, the preference of using them is not widespread. We have tried to bring out the significance of neutrosophic theory in analyzing psychological disorders rather than using traditional set theory. The psychiatrists are used to analyze scaled data with statistical...

I am very pleased to submit this book. In this book contains T -Fuzzy Bi-ideals of Gamma Near-rings, Spherical Fuzzy Bi-ideals of Gamma Near-rings, Spherical Interval-valued Fuzzy Bi-ideals ofGamma Near-rings, Spherical Cubic Bi-ideals of Gamma Near-rings, Double Framed Soft Fuzzy Bi-ideal of GammaNear-rings, Bipolar Fuzzy Bi-ideals of Gamma Near-rings, Conclusion. The concept of fuzziness as described by L.A. Zadeh in 1965 includes imprecision, uncertainty and degree of truthfulness of values. A fuzzy set is a class of objects with a continuum of grades of membership. Such a set is...