Category of Fuzzy Topological Polygroups

Abbasizadeh, N.; Davvaz, B.

Research Article

Category of Fuzzy Topological Polygroups

N. Abbasizadeh
B. Davvaz¹*

Yazd University

* Corresponding author

Abstract

In this paper, the relation between two definitions of a fuzzy topological polygroup is discussed. The collection of all fuzzy continuous functions from a fuzzy topological space Y to a fuzzy topological polygroup Z, denoted by FC(Y,Z) induces a polygroup structure from that of Z. Moreover, we study (fuzzy) topological polygroup of the polygroup FC(Y,Z) when it is equipped with various known topologies and fuzzy topologies. Also, a few properties of fuzzy topological polygroups are established and a category CFTP is formed with objects as FTP and morphisms as the fuzzy topological homomorphisms. The category CTP is seen to be a full subcategory of CFTP.

How to Cite

N. Abbasizadeh, B. Davvaz, Category of Fuzzy Topological Polygroups, Int. J. Anal. Appl. 11 (2016), 124–136.

BibTeX

@article{Abbasizadeh2016,
  author  = {Abbasizadeh, N. and Davvaz, B.},
  title   = {Category of Fuzzy Topological Polygroups},
  journal = {Int. J. Anal. Appl.},
  volume  = {11},
  year    = {2016},
  pages   = {124--136},
  doi     = {}
}

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