Somewhat Slightly Generalized Double Fuzzy Semicontinuous Functions

The aim of this paper is to introduce the concepts of somewhat slightly generalized double fuzzy semicontinuous functions and somewhat slightly generalized double fuzzy semiopen functions in double fuzzy topological spaces. Some interesting properties and characterizations of these functions are introduced and discussed. Furthermore, the relationships among the new concepts are discussed with some necessary examples.

[1]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[2]  Kul Hur,et al.  INTUITIONISTIC FUZZY TOPOLOGICAL SPACES , 2004 .

[3]  Isabelle Bloch,et al.  On fuzzy distances and their use in image processing under imprecision , 1999, Pattern Recognit..

[4]  K. Atanassov.  More on intuitionistic fuzzy sets , 1989 .

[5]  E. Ekici,et al.  Slightly ∞-Continuous Functions , 2004 .

[6]  J. Goguen.  L-fuzzy sets , 1967 .

[7]  Punam K. Saha,et al.  Fuzzy Digital Topology and Geometry and Their Applications to Medical Imaging , 2013, PReMI.

[8]  K. Atanassov.  Remarks on the intuitionistic fuzzy sets , 1992 .

[9]  K. Atanassov.  New operations defined over the intuitionistic fuzzy sets , 1994 .

[10]  Yu Liu,et al.  Formation Track Association Algorithm in the Presence of Sensor Bias Based on Double Fuzzy Topology , 2014, ICRA 2014.

[11]  E. Roja,et al.  SLIGHTLY FUZZY CONTINUOUS MAPPINGS , 2009 .

[12]  Fatimah M. Mohammed,et al.  Slightly double fuzzy continuous functions , 2015 .

[13]  A. Sostak.  On a fuzzy topological structure , 1985 .

[14]  S. K. Samanta,et al.  On intuitionistic gradation of openness , 2002, Fuzzy Sets Syst..

[15]  Javier Gutiérrez García,et al.  Order-theoretic, topological, categorical redundancies of interval-valued sets, grey sets, vague sets, interval-valued "intuitionistic" sets, "intuitionistic" fuzzy sets and topologies , 2005, Fuzzy Sets Syst..

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

[17]  Wenzhong Shi,et al.  Quantitative fuzzy topological relations of spatial objects by induced fuzzy topology , 2009, Int. J. Appl. Earth Obs. Geoinformation.

[18]  Dogan Çoker,et al.  An introduction to intuitionistic fuzzy topological spaces , 1997, Fuzzy Sets Syst..