Title of paper:

Intuitionistic fuzzy estimations of biological interactions

Author(s):

Hristo Aladjov

Institute of Biophysics and Biomedical Engineering, BAS, Acad. G. Bonchev Str., bl.105, 1113 Sofia, Bulgaria

aladjovbiomed.bas.bg


Presented at:

7^{th} IWIFS, Banska Bystrica, 27 September 2011

Published in:

Conference proceedings, "Notes on IFS", Volume 17 (2011) Number 4, pages 29—38

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PDF (576 Kb, Info)

Abstract:

All living organisms sustain their life, reproduce and evolve through interaction with the biotic and abiotic components of their ecosystems. Therefore, the mathematical formalism chosen to describe interactions generally predetermines the scope and properties of the ecological models it is part of. The goal of the present paper is to introduce intuitionistic fuzzy estimations of the interaction between two living organisms capable of aggregating the positive and negative aspects of the interaction, as well as the uncertainty with which they can be determined. Using the concept of intuitionistic fuzzy sets, new continuous formulation of the six basic types of biological interactions (neutralism, amensalism, commensalism, competition, mutualism, predation or parasitism) is presented. This formulation is capable of incorporating different sources of uncertainty, including the ambiguity in the discrimination of direct and environment mediated effects. In the special case when the uncertainty of interaction between two living organisms comes from unaccounted small changes in their relatively constant environment, a method for estimation the interaction components based on observations of interacting objects is provided. A simple averaging algorithm is presented for generalizing the results of multiple observations. Future extensions and possible applications of the intuitionistic fuzzy estimations of biological interactions are also discussed.

Keywords:

Biological interactions, Intuitionistic fuzzy sets, Forward and inverse problems in ecology, Neutralism, Amensalism, Commensalism, Competition, Mutualism, Predation, Parasitism

AMS Classification:

92D40, 03B52

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