Details

Title

Fuzzy number division and the multi-granularity phenomenon

Journal title

Bulletin of the Polish Academy of Sciences: Technical Sciences

Yearbook

2017

Volume

65

Numer

No 4

Authors

Divisions of PAS

Nauki Techniczne

Coverage

497-511

Date

2017

References

Smoczek (2013), Interval arithmetic - based fuzzy discrete - time crane control scheme design Pol, Tech, 14, 863. ; Shary (1995), On optimal solution of interval linear equations on Numerical, SIAM Journal Analysis, 26, 610. ; Tomaszewska (null), Application of the horizontal membership function to the uncertain displacement calculation of a composite massless rod under a tensile load inSoft Computing in Computer and pp eds, Information Science, 13, 63. ; Dymova (2011), in Verlag, Soft Computing Economics Finance, 28. ; Klir (1998), Constrained fuzzy arithmetic Basic questions and some answers, Soft Computing, 24, 100. ; Leontief (1986), Input Output University on Demand, Economics, 29. ; Liu (2010), Uncertainty Theory Verlag, null. ; Hanss (2005), Fuzzy Arithmetic Verlag, Applied, 22. ; Sevastjanov (2009), new method for solving interval and fuzzy equations : Linear case, Information Sciences, 27, 179. ; Piegat (2013), Two interpretations of multidimensional RDM interval arithmetic Multiplication division, International Journal of Fuzzy Systems, 15, 486. ; Piegat (null), Horizontal membership function and examples of its applications, International Journal of Fuzzy Systems, 25, 22. ; Fodor (2006), Arithmetics with fuzzy numbers comparative overview Hungarian Joint on, Proc Symposium Applied Machine Intelligence, 54. ; Piegat (2001), Fuzzy Modeling Control Verlag, Physica, 21. ; Qing (2014), Generalized interval - valued fuzzy variable precision rough sets, International Journal of Fuzzy Systems, 19, 554. ; Hanss (2002), The transformation method for the simulation and analysis of systems with uncertain parameters and, Fuzzy Sets Systems, 23, 130. ; Smoczek (2014), fuzzy scheduling control system design using local pole placement and interval analysis Pol, Tech, 16, 1. ; Piegat (null), with words with the use of inverse RDM models of membership functions, Computing International Journal of Applied Mathematics and Computer Science, 11, 675. ; Dubois (1978), Operations on fuzzy numbers, International Journal of Systems Science, 9, 1. ; Dutta (2011), Fuzzy Arithmetic with and without using α - cut method Comparative study of Latest Trends in, International Journal Computing, 2, 99. ; Kaufmann (1991), Introduction to Fuzzy Arithmetic New York, null, 20. ; Piegat (null), Fuzzy number addition with the application of horizontal membership functions The Scientific World Article ID, Journal, 2015. ; Zadeh (1996), logic with words on, Fuzzy computing IEEE Transactions Fuzzy Systems, 12, 103. ; Pedrycz (2008), Handbook of Granular, Computing. ; Piegat (2016), Aggregation of inconsistent expert opinions with use of horizontal intuitionistic membership functions inNovel Developments in Uncertainty Representation and Processing pp eds, null, 18, 215. ; Tomaszewska (2014), The application of horizontal membership function to fuzzy arithmetic operations of Theoretical and Applied, Journal Computer Science, 7. ; Niewiadomski (2014), Higher order fuzzy logic in controlling selective catalytic reduction systems Pol, Tech, 15, 743. ; Chen (2007), Remarks on the subtraction and division operations over intuitionistic fuzzy sets and interval - valued fuzzy sets, International Journal of Fuzzy Systems, 17, 169.

DOI

10.1515/bpasts-2017-0055

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