loading
Papers

Research.Publish.Connect.

Paper

Paper Unlock

Authors: Julio Rojas-Mora ; Didier Josselin and Marc Ciligot-Travain

Affiliation: Université d’Avignon (UAPV), France

ISBN: 978-989-8425-83-6

Keyword(s): Location problem, Median center, Min-max center, Fuzzy sets, Distance.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Computational Intelligence ; Fuzzy Systems ; Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic ; Soft Computing

Abstract: A common research topic has been the search of an optimal center, according to some objective function that considers the distance between the potential solutions and a given set of points. For crisp data, closed form expressions obtained are the median center, for the Manhattan distance, and the min-max center, for the Chebyshev distance. In this paper, we prove that these closed form expressions can be extended to fuzzy sets by modeling data points with fuzzy numbers, obtaining centers that, through their membership function, model the “appropriateness” of the final location.

PDF ImageFull Text

Download
CC BY-NC-ND 4.0

Sign In Guest: Register as new SciTePress user now for free.

Sign In SciTePress user: please login.

PDF ImageMy Papers

You are not signed in, therefore limits apply to your IP address 35.172.217.40

In the current month:
Recent papers: 100 available of 100 total
2+ years older papers: 200 available of 200 total

Paper citation in several formats:
Rojas-Mora, J.; Josselin, D. and Ciligot-Travain, M. (2011). ON THE EXTENSION OF THE MEDIAN CENTER AND THE MIN-MAX CENTER TO FUZZY DEMAND POINTS.In Proceedings of the International Conference on Evolutionary Computation Theory and Applications - Volume 1: FCTA, (IJCCI 2011) ISBN 978-989-8425-83-6, pages 407-416. DOI: 10.5220/0003674604070416

@conference{fcta11,
author={Julio Rojas{-}Mora. and Didier Josselin. and Marc Ciligot{-}Travain.},
title={ON THE EXTENSION OF THE MEDIAN CENTER AND THE MIN-MAX CENTER TO FUZZY DEMAND POINTS},
booktitle={Proceedings of the International Conference on Evolutionary Computation Theory and Applications - Volume 1: FCTA, (IJCCI 2011)},
year={2011},
pages={407-416},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003674604070416},
isbn={978-989-8425-83-6},
}

TY - CONF

JO - Proceedings of the International Conference on Evolutionary Computation Theory and Applications - Volume 1: FCTA, (IJCCI 2011)
TI - ON THE EXTENSION OF THE MEDIAN CENTER AND THE MIN-MAX CENTER TO FUZZY DEMAND POINTS
SN - 978-989-8425-83-6
AU - Rojas-Mora, J.
AU - Josselin, D.
AU - Ciligot-Travain, M.
PY - 2011
SP - 407
EP - 416
DO - 10.5220/0003674604070416

Login or register to post comments.

Comments on this Paper: Be the first to review this paper.