Generalized Rough Sets

Beschreibung

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).
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).
Introduces the concept of "generalized interval valued intuitionistic fuzzy soft sets" Details concept of interval valued intuitionistic fuzzy sets of type 2 Discusses all hybrid structures of fuzzy set, rough set and soft set Includes supplementary material: sn.pub/extras

Autor*in

Anjan Mukherjee

Themen in »Generalized Rough Sets«

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

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“This book is designed for researchers and students working in the field of fuzzy sets, rough sets, soft sets, and their hybrid models. It introduces the concept and basic properties of generalized interval-valued intuitionistic fuzzy soft sets.” (Bijan Davvaz, Mathematical Reviews, January, 2016)

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