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The modified fuzzy mortality model based on the algebra of ordered fuzzy numbers
Biometrical Journal, 2020AbstractThe new trends in fuzzy analysis are based on the algebraic approach to fuzzy numbers. The essential idea in such an approach is representing the membership function of a fuzzy number as an element of any square‐integrable function space. As a starting point, we consider the Koissi–Shapiro model known as a fuzzy version of the Lee–Carter ...
Andrzej Szymański, Agnieszka Rossa
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Defuzzification and implication within ordered fuzzy numbers
International Conference on Fuzzy Systems, 2010Ordered fuzzy numbers (OFN) invented by the first author and his two coworkers in 2002 make possible to utilize the fuzzy arithmetic and to construct the Abelian group of fuzzy numbers and then an ordered ring. This new model uses the extension of the parametric representation of convex fuzzy numbers and overcomes known drawbacks of the classical ...
Witold Kosinski +1 more
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On Defuzzyfication of Ordered Fuzzy Numbers
2004Ordered fuzzy number is an ordered pair of continuous real functions defined on the interval [0, 1]. Such numbers have been introduced by the author and his co-workers as an enlargement of classical fuzzy numbers by requiring a membership relation. It was done in order to define four algebraic operations between them, i.e.
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Metrics and orders in space of fuzzy numbers
Fuzzy Sets and Systems, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy inventory with or without backorder for fuzzy order quantity with trapezoid fuzzy number
Fuzzy Sets and Systems, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jing-Shing Yao, Huey-Ming Lee
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Implications on Ordered Fuzzy Numbers and Fuzzy Sets of Type Two
2012Ordered fuzzy numbers (OFN) as generalization of convex fuzzy numbers represented in parametric form and invented by the second and the third authors and their coworker in 2002, make possible to utilize the fuzzy arithmetic and to construct the lattice structure on them.
Magdalena Kacprzak +2 more
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Methods based on ordered fuzzy numbers used in fuzzy control
Proceedings of the Fifth International Workshop on Robot Motion and Control, 2005. RoMoCo '05., 2005The model of the ordered fuzzy numbers (OFN) has been defined and explored in the recent publications of the author and his co-workers (2003 and 2004). It provides a quite simple representation of non-precise information and algebraic operations on them. If one performs many operations on OFN's then the fuzziness of their results is limited in contrast
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Financial Stock Data and Ordered Fuzzy Numbers
2013Financial stock time series are presented together with the so-called Japanese candlesticks. Model of Ordered Fuzzy Numbers is shortly presented and its use in presentation of Japanese candlesticks. Then the ogive, the graphical representation of the cumulative relative frequency of transactions is introduced, as the next characteristic of price time ...
Dariusz Kacprzak +2 more
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Diversity of Opinion Evaluated by Ordered Fuzzy Numbers
2013Diversity of opinion is an empirical fact often appearing in social networks. In the paper known statistical methods of evaluation is substituted by fuzzy concepts, namely Step Ordered Fuzzy Numbers (SOFN). SOFN are extentions of Ordered Fuzzy Numbers (OFN) introduced by Kosinski, Prokopowicz and Ślezak in 2002.
Magdalena Kacprzak +2 more
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Fuzziness – Representation of Dynamic Changes by Ordered Fuzzy Numbers
2009In our daily life there are many cases when observations of objects in a population are fuzzy, inaccurate. Fuzzy concepts have been introduced in order to model such vague terms as observed values of some physical or economical terms. Measured physical fields or observed economical parameters may be inaccurate, noisy or difficult to measure and to ...
Witold Kosiński +2 more
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