Land Use Rights Management via Interval Set Operations
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Solution Overview
Problem
Current methods for tracking real property rights are error-prone and complex due to the multidimensional nature of land use rights, which involve five or six dimensions, exceeding human conceptual understanding, and lack effective solutions to guarantee accurate conveyance of promised rights.
Innovation Solution
A system that represents land use rights as bounded spaces, using interval sets and set operations to compute and graphically display conveyance information, allowing for precise tracking of rights across multiple dimensions, including right type, tract dimensions, depth, mineral type, and time.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If traditional manual tracking methods are used for land use rights, then the system is simple to operate, but the accuracy and reliability of rights tracking deteriorates due to errors and complexity in multidimensional conveyance
Solution Approach 1:
The patent segments land use rights into distinct dimensional components (horizontal coordinates, depth, time, mineral type) and represents each as a separate interval or bounded space. This segmentation allows the system to track each dimension independently using interval arithmetic, preventing errors that arise from treating multidimensional rights as a single complex entity, thereby improving reliability without proportionally increasing complexity.
Solution Approach 2:
The patent introduces an intermediary computational system that uses interval arithmetic and bounded space representations to automatically compute and track rights conveyance. This intermediary system handles the complex multidimensional calculations, eliminating manual tracking errors while providing a structured framework that manages complexity through formal mathematical representations rather than ad hoc methods.
2Measurement precision
If scalar percentages are used to represent land use rights, then the representation is simple, but the precision and accuracy of rights conveyance deteriorates
Solution Approach 1:
The patent transitions from scalar percentage representation to interval-based representation by adding dimensional information. Instead of representing a right as a single number (scalar), it represents it as an interval with lower and upper bounds that capture the specific portion of the right. This dimensional enhancement allows precise tracking of rights conveyance while maintaining a relatively simple interval arithmetic framework for computations.
Solution Approach 2:
The patent changes the parameter representation from scalar values to interval parameters with bounded spaces. Each land use right is represented by parameters defining its extent in multiple dimensions (horizontal coordinates, depth, time), allowing precise calculation of conveyed rights through interval arithmetic operations rather than imprecise scalar percentages.
3Reliability
If manual tracking of multidimensional rights is attempted, then the system is easy to understand conceptually, but the reliability deteriorates due to exceeding human conceptual understanding capabilities
Solution Approach 1:
The patent creates a formal mathematical model (interval arithmetic system) that copies and represents the complex multidimensional rights relationships in a simplified computational form. This model allows the system to reliably track rights conveyance across multiple dimensions without requiring human operators to mentally process the full complexity, as the interval-based representation captures all necessary information in a structured, computable format.
Data Source
AI summary
Land use rights management where land use rights are represented as bounded space, and portions of rights are represented as portions of whole rights. The portions are specifically designated subspaces within the bounded space. Rights or ownership interests can be determined by a set or array of interests as indicated by separate computer objects. Conveyances that indicate a split of rights causes the generation of multiple separate interests. Conveyances that indicate a merger of rights can cause the generation of a merged interest where rights from multiple sources can be combined in one interest as indicated by a single computer object. The merged interest can reduce the number of individual rights in the set to enable the computer to perform more efficient computation of ownership interests.