Generalised approximate equalities based on rough fuzzy sets & rough measures of fuzzy sets
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"Generalised approximate equalities ..." refers background in this paper
...Properties (Both direct and interchanged) for these are established by [3]–[6] and were extended and analysed in [7]–[9]....
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...This notion has two distinct advantages over the earlier such notions defined in [3]–[9] In this paper we extend the study in [1]....
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...2) General Analysis: The essence in the extension of the approximate equality of Novotny and Pawlak (NP) is to introduce the other three types of approximate equalities of sets....
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...The notion of rough sets introduced by Pawlak [3] depends upon the concept of equivalence relations defined over a universe U ....
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...Definition 3 is a direct extension of the corresponding notion on sets introduced by Novotny and Pawlak [3], [13]....
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209 citations
"Generalised approximate equalities ..." refers background or methods or result in this paper
...A study later by Huynh and Nakamori [11] found out that the approach [10] is not in the same lines as for the basic rough sets of Pawlak....
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...In this connection it is worth noting that the approximate equalities of fuzzy sets were first studied by Banerjee and Pal [10]....
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...Banerjee and Pal [10] introduced the concept of rough measures of fuzzy sets....
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...equalities of fuzzy sets were first studied by Banerjee and Pal [10]....
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...Also, the notion of graded approximate equalities introduced there extends the definition of Banerjee et al [10], which is a special case....
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69 citations
"Generalised approximate equalities ..." refers background in this paper
...Our future work is looking forward to apply this into human motion analysis [15]–[17] and complex scene understanding context [18]....
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