On the Approach to Optimization of Restoration Works at Railway Facilities

Abstract The article considers an approach to solving the problem of finding the optimal option for the work teams to carry out a complex of restoration works at railway facilities destroyed as a result of an emergency. An approach to solving this problem is proposed, based on the methods of graph theory, fuzzy set theory, and mathematical programming. The proposed approach is illustrated by a meaningful example.

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Applications of Fuzzy Set Theory to Mathematical Programming

Readings in Fuzzy Sets for Intelligent Systems ◽

10.1016/b978-1-4832-1450-4.50084-5 ◽

1993 ◽

pp. 795-809 ◽

Cited By ~ 2

Author(s):

H.-J. ZIMMERMANN

Keyword(s):

Mathematical Programming ◽

Set Theory ◽

Fuzzy Set ◽

Fuzzy Set Theory

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Applications of fuzzy set theory to mathematical programming

Information Sciences ◽

10.1016/0020-0255(85)90025-8 ◽

1985 ◽

Vol 36 (1-2) ◽

pp. 29-58 ◽

Cited By ~ 220

Author(s):

H.-J. Zimmermann

Keyword(s):

Mathematical Programming ◽

Set Theory ◽

Fuzzy Set ◽

Fuzzy Set Theory

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Efficiency of basis elements and fuzzy weighted graph

Applied Mathematical Sciences ◽

10.12988/ams.2017.74153 ◽

2017 ◽

pp. 2941-2949 ◽

Cited By ~ 1

Author(s):

R. Manjusha ◽

A. Sunny Kuriakose

Keyword(s):

Graph Theory ◽

Set Theory ◽

Fuzzy Set ◽

Fuzzy Set Theory ◽

Weighted Graph ◽

Work Place ◽

Planning And Scheduling

Graph theory can be applied in the planning and scheduling of large complicated projects. The nodes of graph are taken as the milestones that are uniquely placed in the work place. Many problems of such work place depends on the efficiency of the nodes in the respective work place. This paper explains how to augment the efficiency of the devices used at each nodes using fuzzy set theory.

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Graph Theory Matrix Approach with Fuzzy Set Theory for Optimization of Operating Parameters on a Diesel Engine

Materials Today Proceedings ◽

10.1016/j.matpr.2017.07.110 ◽

2017 ◽

Vol 4 (8) ◽

pp. 7750-7759

Author(s):

N.K. Geetha ◽

P. Sekar

Keyword(s):

Graph Theory ◽

Diesel Engine ◽

Set Theory ◽

Fuzzy Set ◽

Fuzzy Set Theory ◽

Operating Parameters ◽

Matrix Approach

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Fuzzy Set Theory and Mathematical Programming

Fuzzy Sets Theory and Applications ◽

10.1007/978-94-009-4682-8_7 ◽

1986 ◽

pp. 99-114 ◽

Cited By ~ 17

Author(s):

H.-J. Zimmermann

Keyword(s):

Mathematical Programming ◽

Set Theory ◽

Fuzzy Set ◽

Fuzzy Set Theory

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Generalized Fuzzy Relations

New Mathematics and Natural Computation ◽

10.1142/s1793005718500126 ◽

2018 ◽

Vol 14 (02) ◽

pp. 187-202 ◽

Cited By ~ 3

Author(s):

John N. Mordeson ◽

Sunil Mathew ◽

Davender S. Malik

Keyword(s):

Fuzzy Logic ◽

Graph Theory ◽

Human Trafficking ◽

Set Theory ◽

Fuzzy Set ◽

Fuzzy Set Theory ◽

Illegal Immigration ◽

Fuzzy Relations ◽

Fuzzy Graph ◽

Arbitrary Norm

Fuzzy relations are fundamental in applications of fuzzy set theory and fuzzy logic. The entire literature on fuzzy relations as applied to fuzzy graph theory are based on Rosenfeld’s relations. Rosenfeld used minimum and maximum as the norm and conorm in his study of compositions of fuzzy relations. In this paper, we generalize fuzzy relations using arbitrary [Formula: see text]-norms and [Formula: see text]-conorms. Many of the results do not hold when minimum and maximum are replaced by an arbitrary norm and an arbitrary conorm. Reflexive, symmetric and transitive generalized fuzzy relations are also discussed and an application to human trafficking and illegal immigration is presented.

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