A Conceptual Framework of Convex and Concave Sets under Refined Intuitionistic Fuzzy Set Environment.

Authors

  • Atiqe Ur Rahman Department of Mathematics, University of Management and Technology, Lahore, Pakistan.
  • Muhammad Arshad Department of Mathematics, University of Management and Technology, Lahore, Pakistan.
  • Muhammad Saeed Department of Mathematics, University of Management and Technology, Lahore, Pakistan.

Keywords:

Ortho-convexity, Ortho-Concavity, Sub-membership degree, Sub non-membership degree, Infimum projection, Supremum projection

Abstract

Intuitionistic fuzzy set deals with membership and non-membership of a certain element of universe of discourse whereas these are further partitioned into their sub-membership degrees in refined intuitionistic fuzzy set. This study aims to introduce the notions of convex and concave refined intuitionistic fuzzy sets. Moreover, some of its important properties e.g. complement, union, intersection etc. and results are discussed.

Downloads

Download data is not yet available.

Downloads

Published

2021-12-31

Issue

Vol. 17 No. 2 (2021): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

A Conceptual Framework of Convex and Concave Sets under Refined Intuitionistic Fuzzy Set Environment. (2021). Journal of Prime Research in Mathematics, 17(2), 122 – 137. https://jprm.sms.edu.pk/index.php/jprm/article/view/178