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February 2017 - present
Publications
Publications (37)
In this paper, we extend obligation rules by using grey calculus. We introduce grey obligation rules for minimum grey cost spanning tree (mgcst) situations. It turns out that the grey obligation rule and the grey Bird rule are equal under suitable conditions. Further, we show that such rules are grey cost monotonic and induce population monotonic g...
Times Higher Education tarafından yayınlanan World University Rankings 2018 listesinde yer alan, Türkiye’nin içinde bulunduğu 81 ülkenin üniversitelerinin performans değerlendirmesi nesnel ağırlıklandırma yöntemleri ve çok kriterli karar verme yöntemleri ile değerlendirilmiştir. Bu çalışmada, nesnel ağırlıklandırma yöntemlerinden CRITIC ve ENTROPI...
In this chapter, the authors extend transportation situations under uncertainty by using grey numbers. Further, they try in this research building models for grey game problems on transportation situations proposing the ideas of grey solutions and their corresponding structures. They introduce cooperative grey games and grey solutions. They focus o...
In this work, we deal with airport situations where the costs of the pieces of the runway are given by grey numbers. In this context, we expand the Baker-Thompson rule as a solution concept. Some properties regarding an allocation problem of an airport situation under uncertainty is considered and grey solutions are proposed. We introduce grey Bake...
Some references:
M.O. Olgun, О. Palanci, E. Qasim, G.W. Weber and S.Z. Alparslan Gök, Grey Transportation games, IX Moscow International Conference on Operations Research (ORM2018), Moscow, October 22–27, 2018, Proceedings, Volume II, 436-439. ---
O. Palanci, S.Z. Alparslan Gök and G.-W. Weber, A Survey on Transportation Interval Games, in Book of...
Outline:
1 Introduction:
- What is a Transportation Situation?
- Game Theory,
- Cooperative Game Theory;
2 Cooperative Grey Game Theory;
3 Transportation Games;
4 Transportation Grey Games;
5 Discussion and Conclusion
A system on which the information is partly known and partly unknown is called the grey
information. In this paper, we extend classical transportation games by using grey
information. We introduce cooperative grey games and focus on sharing equal surplus
Solutions. In transportation situations, it may affect the optimal amount of goods and
conseque...
The grey systems theory is a new methodology that focuses on the study of problems involving small samples and poor information. It deals with uncertain systems with partially known information through generating, excavating, and extracting useful information from what is available. So, systems’ operational behaviors and their laws
of evolution can...
The grey uncertainty is a new methodology focusing on the study of problems involving small samples and poor information. It deals with uncertain systems with partially known information through generating, excavating, and extracting useful information from what is available. This paper focuses some division solutions for cooperative games, called...
This study focuses on an interesting class of cooperative games where the coalitional values are interval grey numbers. These cooper- ative games are called cooperative grey games. In this paper, we deal with an axiomatization of the grey Shapley value. We introduce the Banzhaf value and the egalitarian rule by using cooperative grey game theory. F...
In this paper, some set-valued solutions using grey payoffs, namely, the grey core, the grey dominance core, and the grey stable sets of cooperative grey games are introduced and studied. The findings of the study demonstrated the relations between the grey core, the grey dominance core, and stable sets of grey cooperative games. Moreover, we prese...
In this paper, we study some of classical results in facility location games. Shapley value and equal surplus sharing rules are considered. It is seen that these rules do not have a population monotonic allocation schemes (PMAS). Further, we introduce facility location interval games and their properties. Finally, we conclude this paper.
In: Book of Abstracts "State of the Art Workshop" of the 28th EURO Conference Operational Research, Poznan 2016, Operational Research EURO MSC / EURO MCDA / EUROPT / EURO ORD / Ethics and OR, Volume 31, Europe, The Netherlands, Amsterdam; UK, Guilford; North-America, Canada, Montreal: Greenhill & Waterfront; ISBN /EAN 978-90-77171-50-9, D. DeTombe,...
Content:
- Introduction,
- Literature Review,
- Preliminaries,
- Interval Calculus,
- Transportation Situation,
- Mathematical Modelling of Transportation Situations,
- Transportation Games,
- Transportation Interval Situations,
- Transportation Interval Games,
- Interval Shapley Value of the Transportation Interval Game,
- Example,
- The Interval...
Basically, uncertainty is present in almost every real-world situation, it is influencing and questioning our decisions. In this paper, we analyze transportation interval games corresponding to transportation interval situations. In those situations, it may affect the optimal amount of goods and consequently whether and how much of a product is tra...
Content:
- Introduction,
- Literature Review,
- Preliminaries,
- Interval Calculus,
- Transportation Situation,
- Mathematical Modelling of Transportation Situations,
- Transportation Games,
- Transportation Interval Situations,
- Transportation Interval Games
- Interval Shapley Value of the Transportation Interval Game,
- Example,
- The Interval C...
Some references:
O. Palanci, S. Zeynep Alparslan Gök and G.-W. Weber, An axiomatization of the interval Shapley value and on some interval solution concepts, Contributions to Game Theory and Management, Volume VIII, July 2015, 243-251 (dedicated to The Seventh International Conference, Game Theory and Management, GTM2014, St. Petersburg, Russia, Ju...
The Shapley value, one of the most common solution concepts in Operations Research applications of cooperative game theory, is defined and axiomatically characterized in different game-theoretical models. In this paper, we focus on the Shapley value for cooperative games where the set of players is finite and the coalition values are compact interv...
The Shapley value, one of the most common solution concepts in Operations Research applications of cooperative game theory, is defined and axiomatically characterized in different game-theoretical models. In this paper, we focus on the Shapley value for cooperative games where the set of players is finite and the coalition values are compact interv...
The allocation problem of rewards/costs is a basic question for players, namely, individuals and companies that are planning cooperation under uncertainty. The involvement of uncertainty in cooperative game theory is motivated by the real world in which noise in observation and experimental design, incomplete information and vagueness in preference...
The involvement of uncertainty in cooperative game theory is
motivated by the real world where noise in observation and experimental
design, incomplete information and further vagueness in preference
structures and decision-making play an important role. In this study, a new
class of cooperative games namely the cooperative bubbly games,
where the...
The Shapley value, one of the most common solution concepts of cooperative game theory is
defined and axiomatically characterized in different game-theoretic models. Certainly, the
Shapley value can be used in interesting sharing cost/reward problems in the Operations
Research area such as connection, routing, scheduling, production and inventory s...
This contribution is located in the common area of operational research and economics, with a close relation and joint future potential with optimization: game theory. We focus on collaborative game theory under uncertainty. This study is on a new class of cooperative games where the set of players is finite and the coalition values are interval gr...
In this study, we extend the well-known obligation rules by using interval calculus. We introduce interval obligation rules for minimum interval cost spanning tree (micst) situations. It turns out that the interval obligation rule and the interval Bird rule are equal under suitable conditions. Further, we show that such rules are interval cost mono...
In: GTM2013, June 26-28, 2013, St. Petersburg University and The International Society of Dynamic Games (Russian Chapter) (2013), Abstracts, pages 180-181
In this paper, we generalize the well-known mountain situations by introducing multiple sources called the forest situations. We deal with the cost sharing problem by introducing the cooperative cost game. We show that the Bird allocation is a special core element of the related cost game corresponding to the forest situation. Further, we give solu...
References:
O. Palanci, S.Z. Alparslan Gök and G.-W. Weber, Interval obligation rules and related results, in: Contributions to Game Theory and Management, Volume VII, 2014, 262-270; at the occasion of GTM 2013, St. Petersburg, Russia, edited by L.A. Petrosyan and N.A. Zenkevich, St. Petersburg University and The International Society of Dynamic Ga...
In this study, we extend the well-known obligation rules by using interval calculus. We introduce interval obligation rules for minimum interval cost spanning tree (micst) situations. It turns out that the interval obligation rule and the interval Bird rule are equal under suitable conditions. Further, we show that such rules are interval cost mono...
