Object
Title: Upper and lower set formulas: Restriction and modification of the Dempster-Pawlak formalism
Contributor:
Rutkowska, Danuta - ed. ; Kacprzyk, Janusz - ed. ; Zadeh, Lotfi A. - ed.
Subtitle:
Computing with Words and Perceptions
Group publication title:
Abstract:
A modification of Dempster?s and Pawlak?s constructs forms a new foundation for the identification of upper and lower sets formulas. Also, in this modified Dempster-Pawlak construct we require that subsets of the power set be restricted to the well-known information granules of the power set. ; An aggregation of upper information granules amongst each other and lower information granules amongst each other determine upper and lower set formulas for both crisp and fuzzy sets. The results are equivalent to the Truth Table derivation of FDCF and FCCF, Fuzzy Disjunctive Canonical Forms and Fuzzy Conjunctive Canonical Forms, respectively. ; Furthermore, they collapse to the equivalence of Disjunctive Normal Forms and Conjunctive Normal Forms, in the combination of concepts once the LEM, LC and absorption, idempotency and distributivity axioms are admitted into the framework. Finally, a proof of the containment is obtained between FDCF and FCCF for the particular class of strict and nilpotent Archimedian t-norms and t-conorms.
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:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS)
- Digital Library of Zielona Góra > 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:
Sep 2, 2021
In our library since:
Sep 2, 2021
Number of object content hits:
36
All available object's versions:
https://www.zbc.uz.zgora.pl/publication/65738
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International Journal of Applied Mathematics and Computer Science (AMCS)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 21 (2011)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 20 (2010)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 19 (2009)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 18 (2008)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 16 (2006)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 15 (2005)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13 (2003)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12 (2002)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 1 (2002)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 2 (2002)
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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
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 4 (2002)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 1 (2002)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 10 (2000)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 7 (1997)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 6 (1996)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 5 (1995)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 4 (1994)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 3 (1993)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 2 (1992)
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International Journal of Applied Mathematics and Computer Science (AMCS),volume 1 (1991)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
| Edition name | Date |
|---|---|
| Upper and lower set formulas: Restriction and modification of the Dempster-Pawlak formalism | Sep 2, 2021 |
