Object
Title: Relations of granular worlds
Contributor:
Rutkowska, Danuta - ed. ; Kacprzyk, Janusz - ed. ; Zadeh, Lotfi A. - ed.
Subtitle:
Computing with Words and Perceptions
Group publication title:
Abstract:
In this study, we are concerned with a two-objective development of information granules completed on a basis of numeric data. The first goal of this design concerns revealing and representing a structure in a data set. As such it is very much oriented towards coping with the underlying ?relational? aspects of the experimental data. ; The second goal deals with a formation of a mapping between information granules constructed in two spaces (thus it concentrates on the ?directional? aspect of information granulation). The quality of the mapping is directly affected by the information granules over which it operates, so in essence we are interested in the granules that not only reflect the data but also contribute to the performance of such a mapping. ; The optimization of information granules is realized through a collaboration occurring at the level of the data and the mapping between the data sets. The operational facet of the problem is cast in the realm of fuzzy clustering. As the standard techniques of fuzzy clustering (including a well-known approach of FCM) are aimed exclusively at the first objective identified above, we augment them in order to accomplish sound mapping properties between the granules. ; This leads to a generalized version of the FCM (and any other clustering technique for this matter). We propose a generalized version of the objective function that includes an additional collaboration component to make the formed information granules in rapport with the mapping requirements (that comes with a directional component captured by the information granules). ; The additive form of the objective function with a modifiable component of collaborative activities makes it possible to express a suitable level of collaboration and to avoid a phenomenon of potential competition in the case of incompatible structures and the associated mapping. ; The logic-based type of the mapping (that invokes the use of fuzzy relational equations) comes as a consequence of the logic framework of information granules. A complete optimization method is provided and illustrated with several numeral studies.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
Pages:
Source:
AMCS, volume 12, number 3 (2002) ; click here to follow the link
Language:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS)
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2002)
Last modified:
Oct 18, 2022
In our library since:
Sep 2, 2021
Number of object content hits:
64
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/65737
Show description in RDF format:
Show description in OAI-PMH format:
-
International Journal of Applied Mathematics and Computer Science (AMCS)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 21 (2011)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 20 (2010)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 19 (2009)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 18 (2008)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 17 (2007)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 16 (2006)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 15 (2005)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 13 (2003)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12 (2002)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 1 (2002)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 2 (2002)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 3 (2002)
- From computing with numbers to computing with words - From manipulation of measurements to manipulation of perceptions
- An architecture for making judgments using computing with words
- Computing with words and life data
- Relations of granular worlds
- Upper and lower set formulas: Restriction and modification of the Dempster-Pawlak formalism
- A context-based approach to linguistic hedges
- Imposing restrictions on density functions utilised in computing with words
- Towards a linguistic description of dependencies in data
- On granular derivatives and the solution of a granular initial value problem
- Fuzzy-arithmetic-based Lyapunov synthesis in the design of stable fuzzy controllers: A computing-with-words approach
- Supply chain: Crisp and fuzzy aspects
- Improving the generalization ability of neuro-fuzzy systems by [epsilon]-insensitive learning
- Synthesis and evaluation analysis of the indicator information in nuclear safeguards applications by computing with words
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 4 (2002)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 1 (2002)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 11 (2001)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 10 (2000)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 9 (1999)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 8 (1998)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 7 (1997)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 6 (1996)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 5 (1995)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 4 (1994)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 3 (1993)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 2 (1992)
-
International Journal of Applied Mathematics and Computer Science (AMCS),volume 1 (1991)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
| Edition name | Date |
|---|---|
| Relations of granular worlds | Oct 18, 2022 |
