Group Modelling of the causal influence of personal beliefs on Self-esteem using Fuzzy Relational Map based on Linguistic Intervalvalued Pythagorean fuzzy sets

Document Type : Primary Research paper


1 Assistant Professor, Department of Mathematics, Mother Gnanamma Women’s College of Arts and Science (Affiliated to Bharathidasan University, Tiruchirappalli), Varadarajanpet, Ariyalur, Tamilnadu, India.

2 Assistant Professor, PG & Research Department of Mathematics, Holy Cross College- Autonomous (Affiliated to Bharathidasan University), Trichirapalli-2, India.


One of the highly challenging tasks in modelling complex systems that involve
experts’ opinion is quantifying the uncertainty. Linguistic expressions of human
perception that describe the causal relationship among concepts in a fuzzy relational map
has to be captured with proper tools in order to construct efficient models. Fuzzy sets
characterise the uncertainty and subjectivity involved in the modelling process. In order to
include and accommodate imprecise information efficiently several extensions of fuzzy sets
have been introduced. Pythagorean fuzzy sets is one of the extensions that is more effective
in including uncertainty and vagueness. In this paper, a new approach of constructing
fuzzy relational map based on Linguistic Interval Valued Pythagorean Fuzzy Sets is
proposed. The linguistic interval-valued Pythagorean fuzzy relational map is used to
analyse the influence of self-beliefs on the characteristics of self-esteem.