in this paper, some elementary operations on triangular fuzzynumbers (tfns) are defined. we also define some operations on triangularfuzzy matrices (tfms) such as trace and triangular fuzzy determinant(tfd). using elementary operations, some important properties of tfms arepresented. the concept of adjoints on tfm is discussed and some of theirproperties are. some special types of tfms (e.g. pu...

This paper deals with issues concerning the core as a solution concept for games in coalitional form as well as the use of these games in representing economies of a certain formal type. Side-payment games are imbedded in the more general class of no-side-payment games. It is shown that to a given side-payment game having an empty core one may associate two different no-side payment games with ...

We assume we have solved the problems (P) and (D), and that we have an optimal basis B ⊆ {1, 2, . . . , n}. Sensitivity analysis then refers to using to the basis B to solve a modified version (P’) and (D’) of the problems (P) and (D) from modified data A, b and c (whenever this information is useful). This is best done by example. Note that, if the optimal basic matrix AB remains unchanged, th...

Practitioners of Operations Research (OR) traditionally concentrate on mathematical and computational aspects of quantitative models, sometimes resulting in risky implementation or early model obsolescence. We propose an approach, inspired by system concepts and technology management, which includes softer influences, such as decision frequency, model life cycle and technological stage of manag...

This paper presents an approach to model-based diagnosis that rst compiles a rst-order system description to a propositional representation, and then solves the diagnostic problem as a linear programming instance. Relevance reasoning is employed to isolate parts of the system that are related to certain observation types and to economically instantiate the theory, while methods from operations ...

The special issue of Business Systems Research (SI of BSR) is co-published by the Slovenian Society INFORMATIKA – Section for Operational Research (SSI – SOR) and contains developments and new techniques in operations research (OR) models and their practical uses in various fields of business and economics. Seven papers that investigate developments and new techniques in operations research (OR...

We consider student use and perception of video tutorials that were produced to serve as virtual office hours for an undergraduate Operations Research (OR) course. The video tutorials complemented the traditional classroom experience by offering different example applications, presentations of solution methods, and examples for different cases of an OR problem (e.g., maximize versus minimize ob...

Human beings are critical to the functioning of the vast majority of operating systems, influencing both the way these systems work and how they perform. Yet most formal analytical models of operations assume that the people who participate in operating systems are fully rational or at least can be induced to behave rationally. Many other disciplines, including economics, finance, and marketing...

We visit the following problem: For a ‘generic’ model of consumer choice (namely, distributions over preference lists) and a limited amount of data on how consumers actually make decisions (such as marginal preference information), how may one predict revenues from offering a particular assortment of choices? This is a central problem in operations research and marketing. We present a framework...

the geometric-arithmetic index is another topological index was defined as2 deg ( )deg ( )( )deg ( ) deg ( )g guv eg gu vga gu v  , in which degree of vertex u denoted by degg (u). wenow define a new version of ga index as 4( )2 ε ( )ε ( )( )ε ( ) ε ( )g ge uv e g g gu vga g  u v , where εg(u) isthe eccentricity of vertex u. in this paper we compute this new topological index for twogr...