Reference points and roughness

Kedukodi, Babushri Srinivas; Kuncham, Syam Prasad; Satyanarayana, B.

doi:10.1016/j.ins.2010.04.023

Cited by 14 publications

(3 citation statements)

References 30 publications

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“…For recent developments in nearrings and Boolean nearrings, we refer Kuncham, Kedukodi, Panackal and Bhavanari [20], Nayak, Kuncham and Kedukodi [23], Koppula, Kedukodi and Kuncham [17] and Kedukodi, Kuncham and Bhavanari [14,15]. We refer Bhavanari and Kuncham [3], Kuncham [18], Pilz [24], Bhavanari [4], Lafuerza-Guillén and Panackal [21], Panackal, Lafuerza-Guillén and Ravindran [25] and Jagadeesha, Kuncham and Kedukodi [8] for basic definitions.…”

Section: Introductionmentioning

confidence: 99%

Extensions of Boolean Rings and Nearrings

Nayak¹,

Kuncham

Kedukodi

2019

J. Sib. Fed. Univ., Math. phys.

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In this paper, we introduce the notions of left (right) Boolean rings and nearrings. We give examples to show that left (right) Boolean rings are not commutative in general. We obtain interrelations among these algebraic structures and get conditions under which the structures are commutative. Finally, we study the concept of derivations on left (right) Boolean rings and nearrings and obtain commutativity results.

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Section: Introductionmentioning

confidence: 99%

Extensions of Boolean Rings and Nearrings

Nayak¹,

Kuncham

Kedukodi

2019

J. Sib. Fed. Univ., Math. phys.

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“…Akram and Dar [3] proposed the normalization of fuzzy left h-ideals of hemirings with respect to a s-norm. By considering ring as universal set Kedukodi et al [32] introduced reference point based rough set model. Goguen [19] initiated lattice valued fuzzy (L-fuzzy) sets.…”

Section: Introductionmentioning

confidence: 99%

Interval valued L-fuzzy cosets of nearrings and isomorphism theorems

2015

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In this paper, we study homomorphic images of interval valued L-fuzzy ideals of a nearring. If f : N 1 → N 2 is an onto nearring homomorphism andμ is an interval valued L-fuzzy ideal of N 2 then we prove that f −1 (μ) is an interval valued L-fuzzy ideal of N 1 . If μ is an interval valued L-fuzzy ideal of N 1 then we show that f (μ) is an interval valued Lfuzzy ideal of N 2 wheneverμ is invariant under f and interval valued t-norm is idempotent. Finally, we define interval valued L-fuzzy cosets and prove isomorphism theorems.

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“…The notion of rough set and its properties were applied to various areas: rings [5][6][7][8]12,14], modules [9,13,20,27], semigroups [17,31], groups [2,18], MV-algebras [28], BCKalgebras [11], graphs [30], information systems [19,22,35,36], and lattices [10,21,32]. Also, Mordeson [23] used covers of the universal set to define approximation operators on the power set of a given set.…”

Section: Introductionmentioning

confidence: 99%