Pythagorean fuzzy topological spaces

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OLGUN M., ÜNVER M., YARDIMCI Ş.

COMPLEX & INTELLIGENT SYSTEMS, vol.5, no.2, pp.177-183, 2019 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 2
  • Publication Date: 2019
  • Doi Number: 10.1007/s40747-019-0095-2
  • Journal Name: COMPLEX & INTELLIGENT SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.177-183
  • Keywords: Pythagorean fuzzy subset, Pythagorean fuzzy topological space, Pythagorean fuzzy continuity, DECISION-MAKING, AGGREGATION OPERATORS, MEMBERSHIP GRADES, OPERATIONAL LAWS, SETS
  • Ankara University Affiliated: Yes

Abstract

In the present paper, we introduce the notion of Pythagorean fuzzy topological space by motivating from the notion of fuzzy topological space. We define Pythagorean fuzzy continuity of a function defined between Pythagorean fuzzy topological spaces and we characterize this concept. Using the concept of continuity, we also give a method to construct a Pythagorean fuzzy topology on a given non-empty set.