In [3] Mashhour et al, introduced the concept of fuzzy disjointness. Two fuzzy sets A, B in X are said to be fuzzy disjoint if A less than or equal to co B, where co B is the complement of B. Using this concept, they introduced FTi separation axioms as a generalization for the basic separation axioms T-i (i = 1,...,4). In [5] Singal and Rajvanshi used the concepts of regular open fuzzy sets [1] and fuzzy disjointness to introduce some fuzzy almost separation axioms which are stronger than those of Mashhour. Unfortunately, some results in [5] are incorrect. In this paper, we use the concept of the quasi-coincident relation [4] to restate lower fuzzy separation axioms and give a corrected version for some definitions and results in [5].
机构:
Univ Putra Malaysia, Dept Math & Inst Math Res, Serdang, Selangor 43400, MalaysiaUniv Putra Malaysia, Dept Math & Inst Math Res, Serdang, Selangor 43400, Malaysia
机构:
Department of Mathematics, Tripura University, Tripura, Agartala,799022, IndiaDepartment of Mathematics, Tripura University, Tripura, Agartala,799022, India
Das, Suman
Das, Rakhal
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Department of Mathematics, Tripura University, Tripura, Agartala,799022, IndiaDepartment of Mathematics, Tripura University, Tripura, Agartala,799022, India
Das, Rakhal
Pramanik, Surapati
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Department of Mathematics, Nandalal Ghosh B. T. College, West Bengal, Narayanpur,743126, IndiaDepartment of Mathematics, Tripura University, Tripura, Agartala,799022, India