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Jan Schneider
Wroclaw University of Science and Technology

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Conference paper
Published: 09 June 2021 in Transactions on Petri Nets and Other Models of Concurrency XV
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The paper proposes a new visualisation in the form of vectors of not-fully-known quantitative features. The proposal is put in the context of project defining and planning and the importance of visualisation for decision making. The new approach is empirically compared with the already known visualisation utilizing membership functions of triangular fuzzy numbers. The designed and conducted experiment was aimed at evaluating the usability of the new approach according to ISO 9241–11. Overall 76 subjects performed 72 experimental conditions designed to assess the effectiveness of uncertainty conveyance. Efficiency and satisfaction were examined by participants subjective assessment of appropriate statements. The experiment results show that the proposed visualisation may constitute a significant alternative to the known, triangle-based visualisation. The paper emphasizes potential advantages for the proposed representation for project management and in other areas.

ACS Style

Dorota Kuchta; Jerzy Grobelny; Rafał Michalski; Jan Schneider. Vector and Triangular Representations of Project Estimation Uncertainty: Effect of Gender on Usability. Transactions on Petri Nets and Other Models of Concurrency XV 2021, 473 -485.

AMA Style

Dorota Kuchta, Jerzy Grobelny, Rafał Michalski, Jan Schneider. Vector and Triangular Representations of Project Estimation Uncertainty: Effect of Gender on Usability. Transactions on Petri Nets and Other Models of Concurrency XV. 2021; ():473-485.

Chicago/Turabian Style

Dorota Kuchta; Jerzy Grobelny; Rafał Michalski; Jan Schneider. 2021. "Vector and Triangular Representations of Project Estimation Uncertainty: Effect of Gender on Usability." Transactions on Petri Nets and Other Models of Concurrency XV , no. : 473-485.

Journal article
Published: 05 March 2021 in Sustainability
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A new approach to sustainable project scheduling for public institutions is proposed. The approach is based on experts’ opinions on three aspects of sustainability of project activities (human resources consumption, material consumption and negative influence on local communities), expressed by means of Z-fuzzy numbers. A fuzzy bicriterial optimization model is proposed, whose objective is to obtain a project schedule of an acceptable sustainability degree and of acceptable duration and cost. The model was inspired and is illustrated by a real-world infrastructure project, implemented in 2019 by a public institution in Poland.

ACS Style

Dorota Kuchta; Ewa Marchwicka; Jan Schneider. Sustainability-Oriented Project Scheduling Based on Z-Fuzzy Numbers for Public Institutions. Sustainability 2021, 13, 2801 .

AMA Style

Dorota Kuchta, Ewa Marchwicka, Jan Schneider. Sustainability-Oriented Project Scheduling Based on Z-Fuzzy Numbers for Public Institutions. Sustainability. 2021; 13 (5):2801.

Chicago/Turabian Style

Dorota Kuchta; Ewa Marchwicka; Jan Schneider. 2021. "Sustainability-Oriented Project Scheduling Based on Z-Fuzzy Numbers for Public Institutions." Sustainability 13, no. 5: 2801.

Conference paper
Published: 28 August 2018 in Advances in Intelligent Systems and Computing
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The aim of the paper is to present the way of research project planning. The solution is based on chosen agile algorithm - SCRUM with using type-2 fuzzy numbers. The case study of real research project was taken into account to show an exemplary usage of suggested solution.

ACS Style

Agata Klaus-Rosińska; Jan Schneider; Vivian Bulla. Research Project Planning Based on SCRUM Framework and Type-2 Fuzzy Numbers. Advances in Intelligent Systems and Computing 2018, 381 -391.

AMA Style

Agata Klaus-Rosińska, Jan Schneider, Vivian Bulla. Research Project Planning Based on SCRUM Framework and Type-2 Fuzzy Numbers. Advances in Intelligent Systems and Computing. 2018; ():381-391.

Chicago/Turabian Style

Agata Klaus-Rosińska; Jan Schneider; Vivian Bulla. 2018. "Research Project Planning Based on SCRUM Framework and Type-2 Fuzzy Numbers." Advances in Intelligent Systems and Computing , no. : 381-391.

Article
Published: 09 August 2018 in Journal of Theoretical Probability
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The general problem of how to construct stochastic processes which are confined to stay in a predefined cone (in the one-dimensional but also multi-dimensional case also referred to as subordinators) is of course known to be of great importance in the theory and a myriad of applications. In this paper we see how this may be dealt with on the metric space of fuzzy sets/vectors: By first relating with each proper convex cone C in \(\mathbb {R}^{n}\) a certain cone of fuzzy vectors \(C^*\) and subsequently using some very specific Banach space techniques we have been able to produce as many pairs \((L^*_t, C^*)\) of fuzzy Lévy processes \(L^*_t\) and cones \(C^*\) of fuzzy vectors such that \(L^*_t\) are \(C^*\)-subordinators.

ACS Style

Jan Schneider; Roman Urban. Lévy Subordinators in Cones of Fuzzy Sets. Journal of Theoretical Probability 2018, 32, 1909 -1924.

AMA Style

Jan Schneider, Roman Urban. Lévy Subordinators in Cones of Fuzzy Sets. Journal of Theoretical Probability. 2018; 32 (4):1909-1924.

Chicago/Turabian Style

Jan Schneider; Roman Urban. 2018. "Lévy Subordinators in Cones of Fuzzy Sets." Journal of Theoretical Probability 32, no. 4: 1909-1924.

Journal article
Published: 31 January 2018 in International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
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In this note — starting from d-dimensional (with d > 1) fuzzy vectors — we prove Donsker’s classical invariance principle. We consider a fuzzy random walk [Formula: see text], where [Formula: see text] is a sequence of mutually independent and identically distributed d-dimensional fuzzy random variables whose α-cuts are assumed to be compact and convex. Our reasoning and technique are based on the well known conjugacy correspondence between convex sets and support functions, which allows for the association of an appropriately normalized and interpolated time-continuous fuzzy random process with a real valued random process in the space of support functions. We show that each member of the associated family of dual sequences tends in distribution to a standard Brownian motion.

ACS Style

Jan Schneider; Roman Urban. A Proof of Donsker’s Invariance Principle Based on Support Functions of Fuzzy Random Vectors. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 2018, 26, 27 -42.

AMA Style

Jan Schneider, Roman Urban. A Proof of Donsker’s Invariance Principle Based on Support Functions of Fuzzy Random Vectors. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. 2018; 26 (1):27-42.

Chicago/Turabian Style

Jan Schneider; Roman Urban. 2018. "A Proof of Donsker’s Invariance Principle Based on Support Functions of Fuzzy Random Vectors." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 26, no. 1: 27-42.