FUZZY BI-IDEALS OF GAMMA NEAR-RING

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 characterized by a membership function which assigns to each object a grade of membership ranging between zero and one. A fuzzy set in a universe of discourse X is a function of the form : X → [0 1]. Membership functions characterize fuzziness (i.e. all the information in fuzzy set) whether the elements in fuzzy sets are discrete or continuous. Membership functions can be defined as a technique to solve practical problems by experience rather than knowledge. Membership functions are represented by graphical forms. Rules for defining fuzziness are fuzzy too.