Title of paper:

Compassandstraightedge constructions in the intuitionistic fuzzy interpretational triangle: two new intuitionistic fuzzy modal operators

Author(s):

Vassia Atanassova

Department of Bioinformatics and Mathematical Modelling Institute of Biophysics and Biomedical Engineering Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 105, Sofia 1113, Bulgaria

vassia.atanassovagmail.com

Lyubka Doukovska

Intelligent Systems Department Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev str., Bl. 2, 1113 Sofia, Bulgaria

doukovskaiit.bas.bg


Presented at:

21st International Conference on Intuitionistic Fuzzy Sets, 22–23 May 2017, Burgas, Bulgaria

Published in:

"Notes on IFS", Volume 23, 2017, Number 2, pages 1—7

Download:

PDF (157 Kb Kb, Info)

Abstract:

The idea about the two new intuitionistic fuzzy modal operators, proposed here, was inspired by a review of the modal operators defined over intuitionistic fuzzy sets and the observation that graphically all of them are constructed by orthogonal projections. Here for the first time, we propose a new method of constructing two different modal operators, using a compassandstraightedge construction, producing for each point from the intuitionistic fuzzy interpretational triangle, the two points onto the triangle’s hypothenuse that are respectively equidistant from the Truth and the Falsity as the point itself. The properties of these soconstructed new intuitionistic fuzzy operators are studied and formulated in two theorems.

Keywords:

Intuitionistic fuzzy modal operator, Intuitionistic fuzzy interpretational triangle, Rulerandcompass construction, InterCriteria Analysis.

AMS Classification:

03E72.

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