A note on the article ‘Fuzzy less strongly semiopen sets and fuzzy less strongly semicontinuity’

✍ Scribed by A.M. Zahran

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 50 KB
• Volume: 110
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(98)00446-1

✦ Synopsis

In 1992, the concepts of fuzzy strongly semiopen sets, fuzzy strongly semicontinuity and fuzzy strongly semiopen (semiclosed) mappings were introduced by Zhong (Fuzzy Sets and Systems 52 (1992) 345-351). In 1995, Ming (Fuzzy Sets and Systems 73 (1995) 279-290) has introduced the concepts of fuzzy less strongly semiopen sets, fuzzy less strongly semicontinuity and fuzzy less strongly semiopen (semiclosed) mappings. In this note we show that the concepts which due to both Zhong and Ming are equivalent and hence we show that some results in Ming are incorrect. Also we show that the other results in Ming coincide with the results in Zhong.