Geodesic
An L-fuzzy rough set model based on l-double fuzzy generalized neighborhood systems
Filomat, Tome 37 (2023) no. 14, p. 4809

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DOI

In this paper, we consider a commutative quantale L as the truth value table to introduce the notion of L-double fuzzy generalized neighborhood (L-DFGN for short) systems. In addition, we specify and study a pair of L-double rough approximation operators based on L-DFGN systems. Moreover, we study and characterize the related L-double rough approximation (L-DRApprox for short) operators when the L-DFGN system satisfies the conditions of seriality, reflexivity, transitivity, and being unary, respectively. Furthermore, we define and study the measure of L-DRApprox, which characterizes the quality of the obtained approximation. Finally, we interpret the operators of double measures of L-double fuzzy lower and upper approximation as an L-double fuzzy topology and an L-double fuzzy co-topology on a set X, respectively.
DOI : 10.2298/FIL2314809E
Classification : 06A06, 54A10, 54A40
Keywords: L-DFGN systems, L-DRApprox operators, measure of L-DRApprox, L-double fuzzy topology, L-double fuzzy cotopology 
Kamal El-Saady; Ayat A Temraz. An L-fuzzy rough set model based on l-double fuzzy generalized neighborhood systems. Filomat, Tome 37 (2023) no. 14, p. 4809 . doi: 10.2298/FIL2314809E
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     author = {Kamal El-Saady and Ayat A Temraz},
     title = {An {L-fuzzy} rough set model based on l-double fuzzy generalized neighborhood systems},
     journal = {Filomat},
     pages = {4809 },
     year = {2023},
     volume = {37},
     number = {14},
     doi = {10.2298/FIL2314809E},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2314809E/}
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