The book contains elementary ideas of different Intuitionistic fuzzy algebraic structures viz. Intuitionistic fuzzy ideals and Intuitionistic fuzzy submodules. Some interesting relationships between images of Intuitionistic fuzzy ideal and Noetherian & Artinian rings are established. The notion of Intuitionistic fuzzy essential submodules, Intuitionistic fuzzy closed submodules, finite dimensional Intuitionistic fuzzy submodules, Intuitionistic fuzzy uniform submodules, Intuitionistic fuzzy submodules of IF Goldie dimension, Intuitionistic fuzzy projective and injective submodules are introduced and many of their important properties are discussed. Hope this book will provide necessary prerequisites for researchers in this field.
The book contains elementary ideas of different Intuitionistic fuzzy algebraic structures viz. Intuitionistic fuzzy ideals and Intuitionistic fuzzy submodules. Some interesting relationships between images of Intuitionistic fuzzy ideal and Noetherian & Artinian rings are established. The notion of Intuitionistic fuzzy essential submodules, Intuitionistic fuzzy closed submodules, finite dimensional Intuitionistic fuzzy submodules, Intuitionistic fuzzy uniform submodules, Intuitionistic fuzzy submodules of IF Goldie dimension, Intuitionistic fuzzy projective and injective submodules are introduced and many of their important properties are discussed. Hope this book will provide necessary prerequisites for researchers in this field.
The purpose of this thesis is to investigate some aspects of fuzzification of semigroups, partially ordered semigroups and gamma semigroups. In this thesis the concepts of fuzzy subsemigroups, fuzzy...
The book offers a comprehensive survey of intuitionistic fuzzy logics. By reporting on both the author's research and others' findings, it provides readers with a complete overview of the field and...
This book offers a systematic introduction to the clustering algorithms for intuitionistic fuzzy values, the latest research results in intuitionistic fuzzy aggregation techniques, the extended...
This book presents the state-of-the-art in theory and practice regarding similarity and distance measures for intuitionistic fuzzy sets. Quantifying similarity and distances is crucial for many...
This book facilitates both the theoretical background and applications of fuzzy, intuitionistic fuzzy and rough, fuzzy rough sets in the area of data science. This book provides various individual,...
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