Boolean-Valued Set-Theoretic Systems: General Formalism and Basic Technique

Gutman, A. E.

doi:10.3390/math9091056

Cited by 3 publications

(2 citation statements)

References 11 publications

(48 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Dispersal Weights: The term "dispersal weight" refers to a set theoretic technique to ordering the components of any given set based on their probability and needs (Gutman, 2021), as proposed in this work. For a given set 𝐴 = {𝑎 1 , 𝑎 2 , 𝑎 3 , … , 𝑎 𝑛 } and a given set of parameters 𝐵 = {𝑏 1 , 𝑏 2 , 𝑏 3 } for deciding the importance of each element in A, the Dispersal weight M is given as:…”

Section: Matrices Dispersal Weights and Game Theorymentioning

confidence: 99%

A Computational Model for Determining Tiger Dispersal and Related Patterns in a Landscape Complex

Shanu¹,

Aggarwal²

2023

Preprint

View full text Add to dashboard Cite

Species dispersal from a territorial zone is a complex process. The reasons for species dispersal are determined by both natural and human factors. The purpose of this study is to develop a cost surface for a hypothetical landscape that accounts for various species dispersion features. With tigers (Panthera Tigris Tigris) as the focal species, a model for a hypothetical landscape has been built to predict the dispersion patterns of the species' individuals from one habitat patch to another. Initially, four major factors influencing tiger dispersal are explored. Following that, Game Theory assigns a score to each grid in the landscape matrix based on the landscape features in the focal landscape. Specific predefined ratings are also utilized for scenarios that are very complex and may change depending on variables, such as the interaction of the dispersing tiger with co-predators. The two scores mentioned above are combined to create a cost matrix that is shown across a landscape complex to estimate the impact of each landscape component on tiger dispersal. This approach helps wildlife managers develop conservation plans by recognizing important characteristics in the landscape. The results of the model like the one described in this work might be beneficial for a wide range of wildlife management activities such as corridor management, smart patrols, and so on. A cost surface over any focal landscape may serve as a basis for policy and purpose design based on current landscape conditions.

show abstract

Section: Matrices Dispersal Weights and Game Theorymentioning

confidence: 99%

A Computational Model for Determining Tiger Dispersal and Related Patterns in a Landscape Complex

Shanu¹,

Aggarwal²

2023

Preprint

View full text Add to dashboard Cite

show abstract

“…The landscape is structured as a matrix with grids as its elements. Dispersal Weights: The term "dispersal weight" refers to a set theoretic technique for ordering the components of any given set based on their probability and needs [15], as proposed in this work. For a given set: A = {a 1 , a 2 , a 3 , .…”

Section: Matrices Dispersal Weights and Game Theorymentioning

confidence: 99%

A Computational Model for Determining Tiger Dispersal and Related Patterns in a Landscape Complex

Shanu

Agarwal

2023

Sustainability

View full text Add to dashboard Cite

Species dispersal from one territorial zone to another is a complex process. The reasons for species dispersal are determined by both natural and human factors. The purpose of this study is to develop a cost surface for a hypothetical landscape that accounts for various species dispersion features. With tigers (Panthera tigris tigris) as the focal species, a computational model for a landscape has been proposed to predict the dispersion patterns of the species’ individuals from one habitat patch to another. Knowing how tigers disperse is very crucial because it improves the likelihood of successful conservation. The likelihood is raised because it strengthens conservation efforts in the targeted regions identified by the proposed model and encourages landscape continuity for tiger dispersal. Initially, four major factors influencing tiger dispersal are explored. Following that, grids are overlaid over the tiger-carrying landscape map. Further, game theory assigns a score to each grid in the landscape matrix based on the landscape features in the focal landscape. Specific predefined ratings are also utilized for scenarios that are very complex and may change depending on variables, such as the interaction of the dispersing tiger with co-predators. The two scores mentioned above are combined to create a cost matrix that is shown across a landscape complex to estimate the impact of each landscape component on tiger dispersal. This approach helps wildlife managers develop conservation plans by recognizing important characteristics in the landscape. The results of the model described in this work might be beneficial for a wide range of wildlife management activities, such as corridor management, smart patrols, and so on. A cost surface over any focal landscape may serve as a basis for policy and purpose design based on current landscape conditions.

show abstract

Mathematical Formalization and Abstract Description

2023

Deterministic and Stochastic Approaches in Computer Modeling and Simulation

View full text Add to dashboard Cite

The chapter is dedicated to the possibilities of formalization of an investigated object and its abstract description with appropriate mathematical means. At the beginning, the need to decompose complex systems is discussed to facilitate the following model study. The appropriate elements of a standard formal theory, applied in mathematical formalization and the abstract description of the investigated object, are formulated. A major place is devoted to the application of discrete and stochastic structures for the formalization of computer systems and processes for the purposes of further modeling. In the part of discrete means, the possibilities of formalization based on set theory, binary and weighted graphs, theory of finite automata are discussed. Some examples of specific applications are also given. The discussion of stochastic means is mainly focused on the application of elements of probability theory (random processes, streams of random events), the theory of Markov processes (in particular the application of Markov chains), and the theory of queues.

show abstract

Boolean-Valued Set-Theoretic Systems: General Formalism and Basic Technique

Cited by 3 publications

References 11 publications

A Computational Model for Determining Tiger Dispersal and Related Patterns in a Landscape Complex

A Computational Model for Determining Tiger Dispersal and Related Patterns in a Landscape Complex

A Computational Model for Determining Tiger Dispersal and Related Patterns in a Landscape Complex

Mathematical Formalization and Abstract Description

Contact Info

Product

Resources

About