Note on interval-valued fuzzy set

Authors:
Wenyi Zeng;Yu Shi
Affiliations:
Department of Mathematics, Beijing Normal University, Beijing, P.R. China;Department of Mathematics, Beijing Normal University, Beijing, P.R. China
Venue:
FSKD'05 Proceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part I
Year:
2005

Citing 8
Cited 3

Interval valued fuzzy sets based on normal forms

Fuzzy Sets and Systems
A method for inference in approximate reasoning based on interval-valued fuzzy sets

Fuzzy Sets and Systems
Rosenfeld's fuzzy subgroups with interval-valued membership functions

Fuzzy Sets and Systems
The SH-interval-valued fuzzy subgroup

Fuzzy Sets and Systems
Bidirectional approximate reasoning for rule-based systems using interval-valued fuzzy sets

Fuzzy Sets and Systems
Mathematical analysis of interval-valued fuzzy relations: application to approximate reasoning

Fuzzy Sets and Systems
On the relationship between some extensions of fuzzy set theory

Fuzzy Sets and Systems - Theme: Basic notions
Interval-valued fuzzy backward reasoning

IEEE Transactions on Fuzzy Systems

Relationship between similarity measure and entropy of interval valued fuzzy sets

Fuzzy Sets and Systems
Interval Cut-Set of Generalized Interval-Valued Intuitionistic Fuzzy Sets

International Journal of Fuzzy System Applications
Short communication: Lattice representations of interval-valued fuzzy sets

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this note, we introduce the concept of cut set of interval-valued fuzzy set and discuss some properties of cut set of interval-valued fuzzy set, propose three decomposition theorems of interval-valued fuzzy set and investigate some properties of cut set of interval-valued fuzzy set and mapping H in detail. These works can be used in setting up the basic theory of interval-valued fuzzy set.