A note on fuzzy neighbourhood base spaces

Fuzzy Sets and Systems

Volumn 157, Issue 20, 2006, Pages 2725-2738

  Elsalamony, G ^a  

^a BENHA UNIVERSITY   (Egypt)

Author keywords

Fuzzy neighbourhood base space; Maximal fuzzy space; Stable subconstructs of SI TOP; Total stratified I topology

Indexed keywords

CHARACTERIZATION; NUMERICAL METHODS; PHASE SPACE METHODS; TOPOLOGY;

FUZZY NEIGHBOURHOOD BASE SPACES; MAXIMAL FUZZY SPACES; STABLE SUBCONSTRUCTS OF SI-TOP; TOTAL STRATIFIED I-TOPOLOGY;

FUZZY SETS;

EID: 33748328125     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2006.04.006     Document Type: Article

References (16)

1. Elsalamony G., and Lowen R. A note on stable subconstructs of FTS determined by level sets. J. Fuzzy Math. 2 4 (1994) 771-779
2. Ghanim M.H., and Morsi N.N. Pseudo-closure operators in fuzzy neighbourhood-base spaces. Fuzzy Sets and Systems 47 (1992) 109-116
3. Kerre E.E., and Morsi N.N. On co-optimal lifts in the category of fuzzy neighbourhood spaces. Fuzzy Sets and Systems 73 (1995) 151-166
4. Li S.-J., and Luo M.-K. FNS is not isomorphic to FTS. Fuzzy Sets and Systems 136 (2003) 127-131
5. Lowen R. A comparison of different compactness notions in fuzzy topological spaces. J. Math. Anal. Appl. 64 (1978) 446-454
6. Lowen R. Fuzzy neighbourhood spaces. Fuzzy Sets and Systems 7 (1982) 165-189
7. Lowen R., Verschoren A., and Wuyts P. Stable subconstructs of FTS-III (exotic cases). Fuzzy Sets and Systems 97 (1998) 371-380
8. Lowen R., and Wuyts P. Stable subconstructs of FTS: I. J. Fuzzy Math. 1 3 (1993) 475-489
9. Lowen R., and Wuyts P. Stable subconstructs of FTS: part II. Fuzzy Sets and Systems 76 (1995) 169-189
10. Lowen R., Wuyts P., and Lowen E. On the reflectiveness and coreflectiveness of subcategories of FTS. Math. Nachr. 141 (1989) 55-65
11. Morsi N.N. Dual fuzzy neighbourhood spaces I. Fuzzy Sets and Systems 44 (1991) 163-245
12. Morsi N.N. On two types of stable subconstructs of FTS. Fuzzy Sets and Systems 76 (1995) 191-203
13. Rodabaugh S.E. Point-set lattice-theoretic topology. Fuzzy Sets and Systems 40 (1991) 297-345
14. Wuyts P. On the determination of fuzzy topological spaces and fuzzy neighbourhood spaces by their level-topologies. Fuzzy Sets and Systems 12 (1984) 71-85
15. Wuyts P. On level-topologies and maximality of fuzzy topological spaces. Fuzzy Sets and Systems 79 (1996) 337-339
16. Wuyts P., Lowen R., and Lowen E. Reflectors and coreflectors in the category of fuzzy topological spaces. Comput. Math. Appl. 16 (1988) 823-836