Fuzzy N-Normed Linear Spaces

ISBN-13: 9783843381215 / Angielski / Miękka / 2010 / 196 str.

Opis

L.A.Zadeh introduced the notion of fuzzy sets which contributed to the Mathematical study of uncertainty. The fuzzy concept has invaded almost all branches of Mathematics ever since its introduction. There has been a great deal of interest in the area of fuzzy normed linear spaces. This book comprises of eleven chapters and deals thoroughly with the theory of fuzzy n-normed linear spaces and fuzzy n-inner product spaces including convergence sequence, Cauchy sequence and completeness of fuzzy n-normed linear spaces. The concepts of intuitionistic fuzzy compact and bounded linear operators are explained in a fascinating way. Cartesian products of fuzzy n-normed linear spaces and best approximation sets are also discussed. Some fixed point theorems in intuitionistic fuzzy n-normed linear space are proved and the notion of interval valued fuzzy n-normed linear space is also developed. This book will be of much use to learners and researchers in this field.