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Lattice Expansion of Fuzzy Concepts | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 20، شماره 4، مهر و آبان 2023، صفحه 153-164 اصل مقاله (1.23 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2023.43805.7707 | ||
| نویسنده | ||
| Dmitry Maximov* | ||
| Trapeznikov Institute of Control Science Russian Academy of Sciences | ||
| چکیده | ||
| The concept of a fuzzy number is expanded to the case of a finite carrier set of partially ordered elements; the set is a lattice, and the membership function of such an expansion also takes values in a lattice. Zadeh's extension principle for determining the degree of membership of a function of fuzzy numbers is changed for this expansion. An analogue of the concept of a mean value is also suggested. The use of partially ordered values in cognitive maps with multiple expert assessments is considered. | ||
| کلیدواژه‌ها | ||
| fuzzy numbers؛ Zadeh extension principle؛ fuzzy cognitive maps؛ multi-valued sets؛ multi-valued cognitive maps؛ linguistic variable lattice | ||
| مراجع | ||
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[1] G. Birkhoff , Lattice theory, Rhode Island, Providence, 1967.
[2] K. Blount, C. Tsinakis, The structure of residuated lattices, International Journal of Algebra and Computation, 13 (2003), 437-461.
[3] K. K. Damghani, M. T. Taghavifard, R. T. Moghaddam, Decision making under uncertain and risky situations, Enterprise Risk Management Symposium Monograph, Schaumburg, Illinois, Society of Actuaries, (2009), 1-21.
[4] J. Gil-Ferez, F. M. Lauridsen, G. Metcalfe, Integrally closed residuated lattices, Studia Logica, (2019), 1-24.
[5] M. Glykas, ed., Studies in fuzziness and soft computing, Springer, 247, 2010.
[6] H. Gould, J. Tobochnik, D. C. Meredith, et al., An introduction to computer simulation methods: Applications to physical systems, Computers in Physics, 10 (1996), 349.
[7] P. P. Groumpos, Why model complex dynamic systems using fuzzy cognitive maps?, Robotics and Automation Engineering Journal, 1 (2017), 1-13.
[8] M. Jangizehi, A. Rasouli Kenari, J. Hosseinkhani, Proper process selection during flight schedule disruption using a fuzzy multi-criteria decision-making expert system, Iranian Journal of Fuzzy Systems, 20(2) (2023), 121-133.
[9] T. L. Kottas, Y. S. Boutalis, M. A. Christodoulou, Fuzzy cognitive networks: Adaptive network estimation and control paradigms, Glykas, M. (Ed.), Studies in Fuzziness and Soft Computing, Springer, (2010), 89-134.
[10] V. K. Leont'ev, On measures of similarity and distances between objects, Computational Mathematics and Mathematical Physics, 49 (2009), 1949-1965.
[11] D. Maximov, N.A. Vasil'ev's logic and the problem of future random events, Axiomathes, 28 (2018), 201-217.
[12] D. Maximov, Multi-valued cognitive maps: Calculations with linguistic variables without using numbers, ArXiv.org, 2108.04760v1, (2021), 1-26.
[13] D. Maximov, Multi-valued cognitive maps: Calculations with linguistic variables without using numbers, Fuzzy Sets and Systems, 459 (2023), 1-21.
[14] D. Maximov, V. I. Goncharenko, Y. S. Legovich, Multi-valued neural networks I: A multivalued associative memory, Neural Computing and Applications, 33 (2021), 10189-10198.
[15] M. Mosleh, Numerical solution of fuzzy linear Fredholm integro-differential equation by fuzzy neural network, Iranian Journal of Fuzzy Systems, 11(1) (2014), 91-112.
[16] A. Pe~na, H. Sossa, A. Gutierrez, Cognitive maps: An overview and their application for student modelling, Computacion y Sistemas, 10 (2007), 230-250.
[17] D. Rutkowska, M. Pilinski, L. Rutkowski, Neural networks, genetic algorithms and fuzzy systems, Warsaw, PWN, 1997. | ||
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