Generalized Rough Sets

Hybrid Structure and Applications

  • Anjan Mukherjee

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 324)

About this book

Introduction

The book introduces the concept of “generalized interval valued intuitionistic fuzzy soft sets”. It presents the basic properties of these sets and also, investigates an application of generalized interval valued intuitionistic fuzzy soft sets in decision making with respect to interval of degree of preference. The concept of “interval valued intuitionistic fuzzy soft rough sets” is discussed and interval valued intuitionistic fuzzy soft rough set based multi criteria group decision making scheme is presented, which refines the primary evaluation of the whole expert group and enables us to select the optimal object in a most reliable manner. The book also details concept of interval valued intuitionistic fuzzy sets of type 2. It presents the basic properties of these sets. The book also introduces the concept of “interval valued intuitionistic fuzzy soft topological space (IVIFS topological space)” together with intuitionistic fuzzy soft open sets (IVIFS open sets) and intuitionistic fuzzy soft closed sets (IVIFS closed sets).


Keywords

Fuzzy Set Theory IVIFS IVIFS Closed Sets IVIFS Open Sets IVIFS Topological Space Intuitionistic Fuzzy Sets Rough Set Theory Soft Set Theory

Authors and affiliations

  • Anjan Mukherjee
    • 1
  1. 1.Department of MathematicsTripura UniversityAgartalaIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-81-322-2458-7
  • Copyright Information Springer India 2015
  • Publisher Name Springer, New Delhi
  • eBook Packages Engineering
  • Print ISBN 978-81-322-2457-0
  • Online ISBN 978-81-322-2458-7
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • About this book
Industry Sectors
Pharma
Automotive
Chemical Manufacturing
Biotechnology
Electronics
Telecommunications
Energy, Utilities & Environment
Aerospace
Oil, Gas & Geosciences