Weldon A. Lodwick

  • University of Colorado, Denver, CO, USA

According to our database1, Weldon A. Lodwick authored at least 72 papers between 1990 and 2022.

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PhD thesis 


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A necessary and sufficient condition for the stability of interval difference equation via interval Lyapunov equation.
Soft Comput., 2022

The Hukuhara difference, gH-difference and gH-division are not inclusion isotonic.
Fuzzy Sets Syst., 2022

Interval analysis of the HIV dynamics model solution using type-2 fuzzy sets.
Math. Comput. Simul., 2021

A note on the Cayley-Menger determinant and the Molecular Distance Geometry Problem.
Inf. Sci., 2021

Interval nonlinear initial-valued problem using constraint intervals: Theory and an application to the Sars-Cov-2 outbreak.
Inf. Sci., 2021

The interval eigenvalue problem using constraint interval analysis with an application to linear differential equations.
Fuzzy Sets Syst., 2021

Interval optimal control for uncertain problems.
Fuzzy Sets Syst., 2021

Analysis of COVID-19 pandemic in USA, using Topological Weighted Centroid.
Comput. Biol. Medicine, 2021

Interval Arithmetic: WSM, CI or RDM?
Proceedings of the Explainable AI and Other Applications of Fuzzy Techniques, 2021

A constrained interval approach to the generalized distance geometry problem.
Optim. Lett., 2020

A new approach to interval-valued probability measures, a formal method for consolidating the languages of information deficiency: Foundations.
Inf. Sci., 2020

Fuzzy interval optimal control problem.
Fuzzy Sets Syst., 2020

Analysis of the Ebola Outbreak in 2014 and 2018 in West Africa and Congo by Using Artificial Adaptive Systems.
Appl. Artif. Intell., 2020

Classification of Hyperbolic Singularities in Interval 3-Dimensional Linear Differential Systems.
Proceedings of the Information Processing and Management of Uncertainty in Knowledge-Based Systems, 2020

An Introduction to Differential Algebraic Equations Under Interval Uncertainty: A First Step Toward Generalized Uncertainty DAEs.
Proceedings of the Information Processing and Management of Uncertainty in Knowledge-Based Systems, 2020

Solving interval linear programming problems with equality constraints using extended interval enclosure solutions.
Soft Comput., 2019

Discrete-time interval optimal control problem.
Int. J. Control, 2019

A Constraint Fuzzy Interval Analysis approach to fuzzy optimization.
Inf. Sci., 2018

Fréchet derivative for linearly correlated fuzzy function.
Inf. Sci., 2018

A new approach to linear interval differential equations as a first step toward solving fuzzy differential.
Fuzzy Sets Syst., 2018

Estimating the Xenobiotics Mixtures Toxicity on Aquatic Organisms: The Use of \alpha α -level of the Fuzzy Number.
Proceedings of the Fuzzy Information Processing, 2018

A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics - Theory and Applications
Studies in Fuzziness and Soft Computing 347, Springer, ISBN: 978-3-662-53324-6, 2017

Flexible and Generalized Uncertainty Optimization - Theory and Methods
Studies in Computational Intelligence 696, Springer, ISBN: 978-3-319-51107-8, 2017

An Introduction to Distance Geometry applied to Molecular Geometry
Springer Briefs in Computer Science, Springer, ISBN: 978-3-319-57182-9, 2017

An algorithm for solving two-sided interval system of max-plus linear equations.
Inf. Sci., 2017

Calculating the possible conformations arising from uncertainty in the molecular distance geometry problem using constraint interval analysis.
Inf. Sci., 2017

The Karush-Kuhn-Tucker optimality conditions for fuzzy optimization problems.
Fuzzy Optim. Decis. Mak., 2016

Sustainability Index: A Fuzzy Approach for a Municipal Decision Support System.
Proceedings of the Recent Developments and the New Direction in Soft-Computing Foundations and Applications, 2016

Ostrowski type inequalities and applications in numerical integration for interval-valued functions.
Soft Comput., 2015

Generalized interval vector spaces and interval optimization.
Inf. Sci., 2015

Interval linear systems as a necessary step in fuzzy linear systems.
Fuzzy Sets Syst., 2015

Foundational contributions of K. Asai and H. Tanaka to fuzzy optimization.
Fuzzy Sets Syst., 2015

A new approach for differentiability of interval-valued functions as first step toward fuzzy differentiability.
Proceedings of the 2015 Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS) held jointly with 2015 5th World Conference on Soft Computing (WConSC), 2015

Single level constraint interval arithmetic.
Fuzzy Sets Syst., 2014

Pessimistic, optimistic, and minimax regret approaches for linear programs under uncertainty.
Fuzzy Optim. Decis. Mak., 2014

Constrained intervals and interval spaces.
Soft Comput., 2013

A New Algorithm for Identifying Possible Epidemic Sources with Application to the German <i>Escherichia coli </i>Outbreak.
ISPRS Int. J. Geo Inf., 2013

A relationship between probability interval and random sets and its application to linear optimization with uncertainties.
Fuzzy Sets Syst., 2013

Fuzzy differential equations.
Fuzzy Sets Syst., 2013

Optimality conditions of type KKT for optimization problem with interval-valued objective function via generalized derivative.
Fuzzy Optim. Decis. Mak., 2013

The contributions of K. Asai and H. Tanaka in fuzzy optimization.
Proceedings of the Joint IFSA World Congress and NAFIPS Annual Meeting, 2013

The Karush-Kuhn-Tucker optimality conditions for a class of fuzzy optimization problems using strongly generalized derivative.
Proceedings of the Joint IFSA World Congress and NAFIPS Annual Meeting, 2013

Fuzzy Set and Possibility Theory in Optimization: L. Zadeh's Contributions.
Proceedings of the On Fuzziness - A Homage to Lotfi A. Zadeh - Volume 1, 2013

Introduction to Fuzzy and Possibilistic Optimization.
Proceedings of the Fuzzy Optimization - Recent Advances and Applications, 2010

Fuzzy Optimization.
Proceedings of the Encyclopedia of Complexity and Systems Science, 2009

The Relationship between Interval, Fuzzy and Possibilistic Optimization.
Proceedings of the Modeling Decisions for Artificial Intelligence, 2009

The Use of Interval-Valued Probability Measures in Fuzzy Linear Programming: a constraint set approach.
Proceedings of the Joint 2009 International Fuzzy Systems Association World Congress and 2009 European Society of Fuzzy Logic and Technology Conference, 2009

Interval-valued probability in the analysis of problems containing a mixture of possibilistic, probabilistic, and interval uncertainty.
Fuzzy Sets Syst., 2008

Interval-Related Talks at the North American Fuzzy Information Processing Society Annual Conference NAFIPS'06.
Reliab. Comput., 2007

Theoretical and semantic distinctions of fuzzy, possibilistic, and mixed fuzzy/possibilistic optimization.
Fuzzy Sets Syst., 2007

Special issue: Optimization under fuzzy and possibilisitic uncertainty.
Fuzzy Sets Syst., 2007

On Selecting an Algorithm for Fuzzy Optimization.
Proceedings of the Foundations of Fuzzy Logic and Soft Computing, 2007

The Use of Interval-Valued Probability Measures in Optimization Under Uncertainty for Problems Containing a Mixture of Fuzzy, Possibilisitic, and Interval Uncertainty.
Proceedings of the Foundations of Fuzzy Logic and Soft Computing, 2007

Solving Large-Scale Fuzzy and Possibilistic Optimization Problems.
Fuzzy Optim. Decis. Mak., 2005

Interval-Related Talks at the 22th International Conference of the North American Fuzzy Information Processing Society NAFIPS'03 - Chicago, Illinois, USA, July 24-26, 2003.
Reliab. Comput., 2004

Areas of fuzzy geographical entities.
Int. J. Geogr. Inf. Sci., 2004

Area, Perimeter and Shape of Fuzzy Geographical Entities.
Proceedings of the Developments in Spatial Data Handling, 2004

Estimating and Validating the Cumulative Distribution of a Function of Random Variables: Toward the Development of Distribution Arithmetic.
Reliab. Comput., 2003

Interval analysis and fuzzy set theory.
Fuzzy Sets Syst., 2003

Constructing consistent fuzzy surfaces from fuzzy data.
Fuzzy Sets Syst., 2003

Special issue: interfaces between fuzzy set theory and interval analysis.
Fuzzy Sets Syst., 2003

Interval-Related Talks at the Annual Conference of the North American Fuzzy Information Processing Society NAFIPS'02.
Reliab. Comput., 2002

Reliable Computing: Special Issue on the Linkages between Interval Mathematics and Fuzzy Set Theory.
Reliab. Comput., 2002

The construction of consistent possibility and necessity measures.
Fuzzy Sets Syst., 2002

A New Approach to Incorporate Uncertainty in Terrain Modeling.
Proceedings of the Geographic Information Science, Second International Conference, 2002

Fuzzy linear programming using a penalty method.
Fuzzy Sets Syst., 2001

Optimization Under Uncertainty: Methods and Applications in Radiation Therapy.
Proceedings of the 10th IEEE International Conference on Fuzzy Systems, 2001

Minimizing unconstrained fuzzy functions.
Fuzzy Sets Syst., 1999

Interval Methods and Fuzzy Optimization.
Int. J. Uncertain. Fuzziness Knowl. Based Syst., 1997

Preprocessing Nonlinear Functional Constraints with Applications to the Pooling Problem.
INFORMS J. Comput., 1992

Book Review.
INFORMS J. Comput., 1991

Attribute error and sensitivity analysis of map operations in geographical informations systems: suitability analysis.
Int. J. Geogr. Inf. Sci., 1990