论文信息 - A View on Fuzzy Minimal Open Sets and Fuzzy Maximal Open Sets

A View on Fuzzy Minimal Open Sets and Fuzzy Maximal Open Sets

A nonzero fuzzy open set of a fuzzy topological space is said to be fuzzy minimal open resp. fuzzy maximal open set if any fuzzy open set which is contained resp. contains in is either or itself resp. either or itself. In this note, a new class of sets called fuzzy minimal open sets and fuzzy maximal open sets in fuzzy topological spaces are introduced and studied which are subclasses of open sets. Some basic properties and characterization theorems are also to be investigated.

Hamid Reza Moradi

[1] Nobuyuki Oda,et al. Some properties of maximal open sets , 2003 .

[2] Hamid Reza Moradi,et al. Bounded and Semi Bounded Inverse Theorems in Fuzzy Normed Spaces , 2015, Int. J. Fuzzy Syst. Appl..

[3] A. Kaufman,et al. Introduction to the Theory of Fuzzy Subsets. , 1977 .

[4] Waseem Ahmed,et al. Analyze Physical Design Process Using Big Data Tool: Hidden Patterns, Performance Measures, Predictive Analysis and Classifying Logs , 2015, Int. J. Softw. Sci. Comput. Intell..

[5] Yunlong Wang,et al. Generic Cabling of Intelligent Buildings Based on Ant Colony Algorithm , 2011, Int. J. Softw. Sci. Comput. Intell..

[6] H. Moradi. CHARACTERIZATION OF FUZZY COMPLETE NORMED SPACE AND FUZZY B-COMPLETE SET , 2014 .

[7] C. L. Chang,et al. Fuzzy topological spaces , 1968 .

[8] Norio Shiratori,et al. Agent-Based Middleware for Advanced Communication Services in a Ubiquitous Computing Environment , 2010, Int. J. Softw. Sci. Comput. Intell..

[9] Lotfi A. Zadeh,et al. Fuzzy Sets , 1996, Inf. Control..