Title:

Recent advances in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: foundations * Pearson's correlation coefficient between intuitionistic fuzzy sets: an extended theoretical and numerical analysis 223

Subtitle:

Książka = Book ; KS/9/2011/T1P19

Creator:

Szmidt, Eulalia ; Kacprzyk, Janusz (1947– ) ; Bujnowski, Paweł

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2011

Description:

[1-4], 223-236 pages ; 21 cm ; Bibliography p. 233-236

Type of object:

Book/Chapter

Abstract:

The correlation coefficient (Pearson’s r) is one of the most frequently used tools in statistics. This paper is a continuation of our previous works on a correlation coefficient of Atanassov’s intuitionistic fuzzy sets (A-IFSs).The correlation coefficient we have proposed provides the strength of the relationship between A-IFSs and also shows if the considered sets are positively or negatively correlated. Next, the proposed correlation coefficient takes into account not only the amount of information related to the A-IFS data (expressed by the membership and non-membership values) but also the reliability of the data expressed by a so-called hesitation margin. An analysis of well known benchmark data is provided.

Relation:

Książka = Book

Resource type:

Text

Detailed Resource Type:

Book

Source:

KS-2011-09-T1P19

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open