Title:

Recent advances in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: foundations * Fuzzy implications on lattice of ordered fuzzy numbers

Subtitle:

Książka = Book ; KS/9/2011/T1P9

Creator:

Kosiński, Witold ; Kacprzyk, Magdalena

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], 95-111 pages ; 21 cm ; Bibliography p. 108-111

Type of object:

Book/Chapter

Abstract:

Step ordered fuzzy numbers (SOFN) form a subspace of ordered fuzzy numbers (OFN) that were invented by the first author and his two coworkers in the previous decade. The definition of OFN uses the extension of the parametric representation of convex fuzzy numbers. The space of SOFN may be identified with a 2K-dimensional vector space, where K is responsible for the number of steps. OFN may be equipped with a lattice structure. Then fuzzy implications are defined on OFN and SOFN with the help of algebraic operations defined on OFN. The new objects are proposed that have some similarities with intuitionistic fuzzy sets and fuzzy sets of the 2ed type.

Relation:

Książka = Book

Resource type:

Text

Detailed Resource Type:

Book

Source:

KS-2011-09-T1P9

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