Textures and fuzzy unit operations in rough set theory: An approach to fuzzy rough set models

التفاصيل البيبلوغرافية
العنوان: Textures and fuzzy unit operations in rough set theory: An approach to fuzzy rough set models
المؤلفون: Murat Diker
المصدر: Fuzzy Sets and Systems. 336:27-53
بيانات النشر: Elsevier BV, 2018.
سنة النشر: 2018
مصطلحات موضوعية: Fuzzy classification, Mathematics::General Mathematics, Logic, 05 social sciences, Fuzzy set, 050301 education, 02 engineering and technology, Fuzzy subalgebra, Defuzzification, Fuzzy logic, ComputingMethodologies_PATTERNRECOGNITION, Artificial Intelligence, Fuzzy mathematics, 0202 electrical engineering, electronic engineering, information engineering, Fuzzy set operations, Fuzzy number, 020201 artificial intelligence & image processing, ComputingMethodologies_GENERAL, 0503 education, Algorithm, Mathematics
الوصف: In this paper, an approach for the fuzzy rough set models is presented using textures and a fuzzy version of the unit operations of Wybraniec-Skardowska. First, a fuzzy unit operation and fuzzy unit co-operation on fuzzy lattices are defined. It is proved that the well-known fuzzy rough set upper approximations as the approximation of Dubois and Prade are fuzzy unit operation. Using fuzzy direlations, an axiomatic system for fuzzy unit operations is studied and it is shown that fuzzy rough set systems obtained by different fuzzy logical connectives as Kleene-Dienes and Godel implicators can be generated by the same textural fuzzy direlation. Finally, it is observed that the approximations of two different fuzzy rough set models together constitute two different Galois connections.
تدمد: 0165-0114
الوصول الحر: https://explore.openaire.eu/search/publication?articleId=doi_________::de9b6c0b51c58a867c5dd75a1c80e79eTest
https://doi.org/10.1016/j.fss.2017.06.009Test
حقوق: CLOSED
رقم الانضمام: edsair.doi...........de9b6c0b51c58a867c5dd75a1c80e79e
قاعدة البيانات: OpenAIRE