A note on the roughness measure of fuzzy sets

Pattaraintakorn, Puntip; Naruedomkul, Kanlaya; Palasit, K.

doi:10.1016/j.aml.2008.09.002

Cited by 5 publications

(1 citation statement)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…And many new mathematical methods are generated for dealing with the uncertain and imprecise information, such as the fuzzy rough sets and rough fuzzy sets, etc. Additionally, many measure methods are proposed and investigated by different authors in order to characterize the uncertainty and ambiguity of different sets [14][15][16][17][18][19][20]. In this paper, we mainly concerns the construction of the lower and upper approximations of an interval valued vague set based on the works of Wang et al [14] and Al-Rababah and Biswas [21].…”

Section: Introductionmentioning

confidence: 99%

Rough Interval Valued Vague Sets in Pawlak Approximation Space

Shen

2010

Advances in Intelligent and Soft Computing

View full text Add to dashboard Cite

Abstract. The combination of interval valued vague sets and rough sets is developed in this paper. The lower and upper approximation operators of an interval valued vague set are constructed, which are partitioned by an indiscernibility relation in Pawlak approximation space. Further properties associated with the lower and upper approximations of interval valued vague sets are examined. Finally, the roughness measure of an interval valued vague set is presented as an extension of the parameterized roughness measure of a vague set. Meantime, the related properties with respect to roughness measure are established and analyzed.

show abstract