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Mechanisms of DIKWP-Based Communication Between Stakeholders: Locating and Sharing Missing Components
Yucong Duan
International Standardization Committee of Networked DIKWP for Artificial Intelligence Evaluation(DIKWP-SC)
World Artificial Consciousness CIC(WAC)
World Conference on Artificial Consciousness(WCAC)
(Email: duanyucong@hotmail.com)
Abstract
Effective communication between stakeholders—whether human or artificial intelligence (AI) systems—is pivotal for collaborative understanding and decision-making. Utilizing the Data-Information-Knowledge-Wisdom-Purpose (DIKWP) model, this paper delineates a comprehensive mechanism for interaction between two stakeholders, each represented by personalized digital DIKWP*DIKWP profiles. Focusing on the identification and transfer of missing DIKWP components, we explore how stakeholders can enhance mutual understanding through structured content sharing. The mechanism integrates mathematical formalism to model the processes of locating, sharing, and integrating DIKWP components via spoken communication, addressing challenges such as connectivity, inconsistency, uncertainty, and complexity. This framework aims to facilitate seamless and effective communication, thereby mitigating the incidence of hallucinations and fostering robust human-AI collaboration.
1. Introduction
Communication between stakeholders is fundamental to collaborative endeavors, whether in human interactions or human-AI partnerships. The Data-Information-Knowledge-Wisdom-Purpose (DIKWP) model offers a structured approach to understanding cognitive processes by categorizing them into five interconnected components. Prof. Yucong Duan's Theory of Relativity of Consciousness further emphasizes that consciousness and understanding are relative, shaped by individual cognitive enclosures within their DIKWP*DIKWP profiles.
This paper presents a detailed mechanism for communication between two stakeholders, each represented by their personalized DIKWP*DIKWP profiles. The focus lies on identifying and sharing missing DIKWP components through spoken content, enhancing mutual understanding by addressing gaps in Data, Information, Knowledge, Wisdom, and Purpose. By employing mathematical formulations, we provide a rigorous framework to model these interactions, ensuring clarity, consistency, and reduced complexity in communication.
2. The DIKWP Model and Personalized Digital Profiles2.1 Overview of the DIKWP Model
The DIKWP model encapsulates cognitive processes into five components:
Data (D): Raw, unprocessed facts or observations.
Information (I): Processed data highlighting patterns and relationships.
Knowledge (K): Organized and contextualized information forming a coherent understanding.
Wisdom (W): Judgments and decisions based on Knowledge, incorporating ethical and contextual considerations.
Purpose (P): The driving goals or intentions guiding cognitive processes.
2.2 Personalized Digital DIKWP*DIKWP Profiles
Each stakeholder's cognitive framework is represented as a personalized digital DIKWP*DIKWP profile:
Profilei={Di,Ii,Ki,Wi,Pi}\text{Profile}_i = \{\mathbf{D}_i, \mathbf{I}_i, \mathbf{K}_i, \mathbf{W}_i, \mathbf{P}_i\}Profilei={Di,Ii,Ki,Wi,Pi}
Where:
Di∈Rn\mathbf{D}_i \in \mathbb{R}^nDi∈Rn: Data vector
Ii∈Rm\mathbf{I}_i \in \mathbb{R}^mIi∈Rm: Information vector
Ki∈Rp\mathbf{K}_i \in \mathbb{R}^pKi∈Rp: Knowledge vector
Wi∈Rq\mathbf{W}_i \in \mathbb{R}^qWi∈Rq: Wisdom vector
Pi∈Rr\mathbf{P}_i \in \mathbb{R}^rPi∈Rr: Purpose vector
These profiles encapsulate the cognitive state and capacities of each stakeholder, enabling a structured analysis of their interactions.
3. Mechanism of DIKWP-Based Communication3.1 Interaction Framework
Communication between two stakeholders, Entity A and Entity B, is modeled through their DIKWP*DIKWP profiles:
Interaction=EntityA(ProfileA)×EntityB(ProfileB)\text{Interaction} = \text{Entity}_A (\text{Profile}_A) \times \text{Entity}_B (\text{Profile}_B)Interaction=EntityA(ProfileA)×EntityB(ProfileB)
This interaction involves the exchange and transformation of DIKWP components, aiming to align their Understanding (U\mathcal{U}U).
3.2 Locating Missing DIKWP Components
To facilitate effective communication, it's essential to identify gaps or missing components in the target stakeholder's profile that are critical for understanding the conveyed message.
3.2.1 Gap Identification Process
Assessment of Sender's DIKWP Components:
Sender's Data (DA\mathbf{D}_ADA), Information (IA\mathbf{I}_AIA), etc., are analyzed to determine which components are essential for the intended message.
Evaluation of Receiver's DIKWP Components:
Receiver's Profile (DB,IB,…\mathbf{D}_B, \mathbf{I}_B, \ldotsDB,IB,…) is assessed to identify missing or underdeveloped components that could hinder comprehension.
Gap Analysis:
Mathematical measures (e.g., vector differences, similarity indices) quantify the discrepancies between necessary and existing DIKWP components in the receiver's profile.
GapX=∥XA−XB∥∀X∈{D,I,K,W,P}\text{Gap}_X = \|\mathbf{X}_A - \mathbf{X}_B\| \quad \forall X \in \{D, I, K, W, P\}GapX=∥XA−XB∥∀X∈{D,I,K,W,P}
Where ∥⋅∥\|\cdot\|∥⋅∥ denotes a norm (e.g., Euclidean distance) measuring the extent of the gap in component XXX.
3.3 Sharing Missing DIKWP Components
Once gaps are identified, the sender facilitates the transfer of relevant DIKWP components to the receiver through spoken communication.
3.3.1 Content Selection
Prioritization: Components with the highest gaps (GapX\text{Gap}_XGapX) are prioritized for transfer.
Relevance Filtering: Only components pertinent to the communication context are selected to avoid overloading the receiver.
3.3.2 Structured Content Transfer
The sender structures the message to align with the receiver's cognitive framework, ensuring clarity and minimizing misinterpretation.
Data Transfer: Presenting raw facts or observations relevant to the context.
Information Transfer: Highlighting patterns, differences, or relationships within the data.
Knowledge Transfer: Integrating the information into a coherent understanding.
Wisdom Transfer: Applying ethical or contextual judgments to the knowledge.
Purpose Alignment: Clearly articulating the goals or intentions behind the communication.
3.4 Listening and Integration by the Receiver
The receiver processes the incoming DIKWP content to integrate it into their profile, thereby bridging the identified gaps.
3.4.1 Cognitive Processing Steps
Reception of Spoken Content:
The receiver listens to the message, capturing the conveyed DIKWP components.
Parsing and Interpretation:
Data (DA\mathbf{D}_ADA): Extracting raw facts.
Information (IA\mathbf{I}_AIA): Identifying patterns and relationships.
Knowledge (KA\mathbf{K}_AKA): Contextualizing the information.
Wisdom (WA\mathbf{W}_AWA): Applying ethical judgments.
Purpose (PA\mathbf{P}_APA): Understanding the sender's intentions.
Integration into Receiver's Profile:
Data Update: Incorporating new facts.
Information Synthesis: Merging new information with existing data.
Knowledge Expansion: Enhancing the coherence and depth of Knowledge.
Wisdom Enhancement: Refining decision-making processes with new judgments.
Purpose Realignment: Adjusting Goals to align with the received Purpose.
XB′=XB+ΔXB\mathbf{X}_B' = \mathbf{X}_B + \Delta \mathbf{X}_BXB′=XB+ΔXB
Where ΔXB\Delta \mathbf{X}_BΔXB represents the integration of new DIKWP components from the interaction.
3.5 Feedback and Validation
To ensure effective understanding, the communication process incorporates feedback mechanisms.
3.5.1 Feedback Loop
Receiver's Response:
The receiver communicates back to the sender, confirming comprehension or requesting clarification.
Sender's Adjustment:
Based on feedback, the sender refines the DIKWP content to address remaining gaps or misunderstandings.
Iterative Refinement:
The interaction iterates until mutual Understanding (UAB\mathcal{U}_{AB}UAB) reaches an acceptable threshold.
4. Mathematical Formalization of DIKWP*DIKWP Communication4.1 Vector Representation of DIKWP Components
Each DIKWP component is represented as a vector in a high-dimensional space, capturing its semantic and contextual attributes.
Entityi={Di,Ii,Ki,Wi,Pi}\text{Entity}_i = \{\mathbf{D}_i, \mathbf{I}_i, \mathbf{K}_i, \mathbf{W}_i, \mathbf{P}_i\}Entityi={Di,Ii,Ki,Wi,Pi}
4.2 Gap Measurement
Quantifying the gaps between the sender's and receiver's DIKWP components enables targeted communication.
GapX=∥XA−XB∥\text{Gap}_X = \|\mathbf{X}_A - \mathbf{X}_B\|GapX=∥XA−XB∥
Where XXX represents any of the DIKWP components. Smaller gaps indicate better alignment, while larger gaps highlight areas needing transfer.
4.3 Understanding Quantification
Understanding (UAB\mathcal{U}_{AB}UAB) is quantified based on the alignment of DIKWP components post-interaction.
UAB=∑X∈{D,I,K,W,P}λX⋅sim(XAB,Xshared)\mathcal{U}_{AB} = \sum_{X \in \{D, I, K, W, P\}} \lambda_X \cdot \text{sim}(\mathbf{X}_{AB}, \mathbf{X}_{shared})UAB=X∈{D,I,K,W,P}∑λX⋅sim(XAB,Xshared)
Where:
λX\lambda_XλX: Weight assigned to component XXX.
sim(⋅,⋅)\text{sim}(\cdot, \cdot)sim(⋅,⋅): Similarity function (e.g., cosine similarity).
XAB\mathbf{X}_{AB}XAB: Combined DIKWP component after interaction.
Xshared\mathbf{X}_{shared}Xshared: Ideal or consensus DIKWP component.
4.4 Optimization Framework
To maximize Understanding while addressing connectivity, inconsistency, and complexity, we formulate an optimization problem:
maxXABUAB−∑XηX⋅(IX+CX)\max_{\mathbf{X}_{AB}} \quad \mathcal{U}_{AB} - \sum_{X} \eta_X \cdot (\mathcal{I}_X + \mathcal{C}_X)XABmaxUAB−X∑ηX⋅(IX+CX)
Subject to:
IX≤θX∀X\mathcal{I}_X \leq \theta_X \quad \forall XIX≤θX∀XCX≤ϕX∀X\mathcal{C}_X \leq \phi_X \quad \forall XCX≤ϕX∀X
Where:
IX\mathcal{I}_XIX: Inconsistency in component XXX.
CX\mathcal{C}_XCX: Complexity in component XXX.
ηX\eta_XηX: Penalty coefficients.
θX,ϕX\theta_X, \phi_XθX,ϕX: Thresholds for inconsistency and complexity.
The optimization ensures that Understanding is maximized while maintaining low inconsistency and manageable complexity across all DIKWP components.
5. Detailed Mechanisms by DIKWP Components5.1 Data (D)5.1.1 Locating Missing Data
Assessment: Compare DA\mathbf{D}_ADA and DB\mathbf{D}_BDB to identify discrepancies.
Mathematical Measure: GapD=∥DA−DB∥\text{Gap}_D = \|\mathbf{D}_A - \mathbf{D}_B\|GapD=∥DA−DB∥
5.1.2 Sharing Data
Transfer Method: Explicit presentation of raw facts.
Integration Mechanism: Append new data to DB\mathbf{D}_BDB, ensuring consistency.
DB′=DB∪ΔD\mathbf{D}_B' = \mathbf{D}_B \cup \Delta \mathbf{D}DB′=DB∪ΔD
5.2 Information (I)5.2.1 Locating Missing Information
Assessment: Identify missing patterns or relationships in IB\mathbf{I}_BIB relative to IA\mathbf{I}_AIA.
Mathematical Measure: GapI=∥IA−IB∥\text{Gap}_I = \|\mathbf{I}_A - \mathbf{I}_B\|GapI=∥IA−IB∥
5.2.2 Sharing Information
Transfer Method: Articulate identified patterns and relationships.
Integration Mechanism: Incorporate new information into IB\mathbf{I}_BIB, resolving discrepancies.
IB′=IB+ΔI\mathbf{I}_B' = \mathbf{I}_B + \Delta \mathbf{I}IB′=IB+ΔI
5.3 Knowledge (K)5.3.1 Locating Missing Knowledge
Assessment: Compare KA\mathbf{K}_AKA and KB\mathbf{K}_BKB to pinpoint gaps in understanding.
Mathematical Measure: GapK=∥KA−KB∥\text{Gap}_K = \|\mathbf{K}_A - \mathbf{K}_B\|GapK=∥KA−KB∥
5.3.2 Sharing Knowledge
Transfer Method: Provide contextualized explanations and insights.
Integration Mechanism: Merge new knowledge into KB\mathbf{K}_BKB, ensuring coherence.
KB′=KB∪ΔK\mathbf{K}_B' = \mathbf{K}_B \cup \Delta \mathbf{K}KB′=KB∪ΔK
5.4 Wisdom (W)5.4.1 Locating Missing Wisdom
Assessment: Evaluate discrepancies in ethical and contextual judgments between WA\mathbf{W}_AWA and WB\mathbf{W}_BWB.
Mathematical Measure: GapW=∥WA−WB∥\text{Gap}_W = \|\mathbf{W}_A - \mathbf{W}_B\|GapW=∥WA−WB∥
5.4.2 Sharing Wisdom
Transfer Method: Discuss ethical considerations and contextual decision-making strategies.
Integration Mechanism: Infuse new wisdom into WB\mathbf{W}_BWB, aligning with ethical frameworks.
WB′=WB+ΔW\mathbf{W}_B' = \mathbf{W}_B + \Delta \mathbf{W}WB′=WB+ΔW
5.5 Purpose (P)5.5.1 Locating Misaligned Purpose
Assessment: Determine differences in Goals and Intentions between PA\mathbf{P}_APA and PB\mathbf{P}_BPB.
Mathematical Measure: GapP=∥PA−PB∥\text{Gap}_P = \|\mathbf{P}_A - \mathbf{P}_B\|GapP=∥PA−PB∥
5.5.2 Sharing Purpose
Transfer Method: Clearly articulate the intended goals and objectives.
Integration Mechanism: Align or adjust PB\mathbf{P}_BPB to reflect a shared or complementary purpose.
PB′=PB+ΔP\mathbf{P}_B' = \mathbf{P}_B + \Delta \mathbf{P}PB′=PB+ΔP
6. Reducing DIKWP*DIKWP Composition Complexities6.1 Complexity Measurement
Complexity in interactions arises from the intricate pathways connecting DIKWP components. We quantify complexity (X\mathcal{X}X) as:
XAB=∑XγX⋅complexity(XAB)\mathcal{X}_{AB} = \sum_{X} \gamma_X \cdot \text{complexity}(\mathbf{X}_{AB})XAB=X∑γX⋅complexity(XAB)
Where γX\gamma_XγX are weights assigned to each component's complexity.
6.2 Strategies for Complexity Reduction
Simplified Communication Protocols:
Standardization: Use standardized terminologies and structures to facilitate easier integration.
Modular Messaging: Break down messages into smaller, manageable DIKWP components.
Hierarchical Integration:
Top-Down Approach: Start with high-level Purpose alignment before delving into detailed components.
Bottom-Up Refinement: Begin with Data and Information, progressively building Knowledge and Wisdom.
Iterative Refinement:
Feedback Loops: Continuously refine DIKWP components based on feedback to streamline interactions.
Adaptive Thresholds: Adjust thresholds (θX\theta_XθX) dynamically based on interaction history and outcomes.
7. Remediating Inconsistency and Uncertainty7.1 Inconsistency Detection and Resolution
Inconsistency Metric:
IAB=∑XδX⋅inconsistency(XAB)\mathcal{I}_{AB} = \sum_{X} \delta_X \cdot \text{inconsistency}(\mathbf{X}_{AB})IAB=X∑δX⋅inconsistency(XAB)
Where δX\delta_XδX are weights for each component's inconsistency.
Resolution Mechanisms:
Conflict Identification: Detect conflicting information or Knowledge.
Reconciliation Processes: Implement methods to reconcile differences, such as seeking additional Data or Information.
7.2 Uncertainty Quantification and Mitigation
Uncertainty Metric:
UAB=∑XϵX⋅uncertainty(XAB)\mathcal{U}_{AB} = \sum_{X} \epsilon_X \cdot \text{uncertainty}(\mathbf{X}_{AB})UAB=X∑ϵX⋅uncertainty(XAB)
Where ϵX\epsilon_XϵX are weights for each component's uncertainty.
Mitigation Strategies:
Data Verification: Cross-validate Data components to reduce uncertainty.
Information Clarification: Provide additional context or details to enhance clarity.
Knowledge Updating: Incorporate new findings or evidence to strengthen Knowledge bases.
8. Mathematical Modeling of Understanding Enhancement8.1 Optimization Objective
Maximize Understanding (UAB\mathcal{U}_{AB}UAB) while minimizing inconsistency (IAB\mathcal{I}_{AB}IAB) and complexity (XAB\mathcal{X}_{AB}XAB):
maxUAB−λ⋅(IAB+XAB)\max \quad \mathcal{U}_{AB} - \lambda \cdot (\mathcal{I}_{AB} + \mathcal{X}_{AB})maxUAB−λ⋅(IAB+XAB)
Where λ\lambdaλ is a penalty coefficient balancing the trade-off between maximizing Understanding and minimizing Inconsistency and Complexity.
8.2 Constraint Formulation
To ensure effective communication, the following constraints are imposed:
CAB≥θC\mathcal{C}_{AB} \geq \theta_CCAB≥θCIAB≤θI\mathcal{I}_{AB} \leq \theta_IIAB≤θIXAB≤θX\mathcal{X}_{AB} \leq \theta_XXAB≤θX
Where:
θC\theta_CθC: Minimum required connectivity.
θI\theta_IθI: Maximum allowable inconsistency.
θX\theta_XθX: Maximum allowable complexity.
8.3 Solution Approach
Employing optimization techniques such as Lagrangian multipliers or gradient descent to adjust DIKWP components:
Initialize: Start with initial DIKWP profiles for both stakeholders.
Iterate: Adjust DIKWP components based on gradients to maximize the objective function.
Converge: Continue iterations until constraints are satisfied and the objective function is optimized.
9. Case Study: Human-AI Collaborative Diagnosis9.1 Scenario Description
A medical practitioner (Human) collaborates with an AI diagnostic system (AI) to diagnose a patient's condition. Their interaction involves sharing and integrating DIKWP components to achieve an accurate diagnosis.
9.2 Initial Profiles
Human (ProfileH\text{Profile}_HProfileH):
Data (DH\mathbf{D}_HDH): Patient symptoms, medical history.
Information (IH\mathbf{I}_HIH): Identified potential diagnoses.
Knowledge (KH\mathbf{K}_HKH): Medical expertise and clinical guidelines.
Wisdom (WH\mathbf{W}_HWH): Ethical considerations in patient care.
Purpose (PH\mathbf{P}_HPH): Accurate and timely diagnosis.
AI (ProfileA\text{Profile}_AProfileA):
Data (DA\mathbf{D}_ADA): Extensive medical datasets, research articles.
Information (IA\mathbf{I}_AIA): Pattern recognition in patient data.
Knowledge (KA\mathbf{K}_AKA): Compiled medical knowledge from training data.
Wisdom (WA\mathbf{W}_AWA): Predefined ethical guidelines.
Purpose (PA\mathbf{P}_APA): Assist in diagnosis and treatment planning.
9.3 Interaction Process
Data Exchange:
Human to AI: Sends patient data (DH\mathbf{D}_HDH) to AI.
Gap Identification: AI identifies any missing Data components relevant for diagnosis.
Information Sharing:
AI Analysis: Processes DH\mathbf{D}_HDH to generate Information (IA\mathbf{I}_AIA).
Shared Information: AI communicates patterns and potential diagnoses back to the Human.
Knowledge Integration:
Human Review: Evaluates AI's Information (IA\mathbf{I}_AIA) against personal Knowledge (KH\mathbf{K}_HKH).
Knowledge Update: Human incorporates relevant Knowledge from AI into KH\mathbf{K}_HKH.
Wisdom Application:
Ethical Judgment: Both stakeholders apply Wisdom (WH\mathbf{W}_HWH and WA\mathbf{W}_AWA) to ensure ethical considerations in diagnosis.
Purpose Alignment:
Goal Confirmation: Both entities confirm their Purpose (PH\mathbf{P}_HPH and PA\mathbf{P}_APA) to ensure alignment towards accurate diagnosis.
9.4 Gap Remediation and Understanding Enhancement
Mathematical Optimization: Adjust DIKWP components to minimize GapX\text{Gap}_XGapX and maximize UHA\mathcal{U}_{HA}UHA.
Result: Enhanced Understanding leads to a more accurate and reliable diagnosis, reducing the likelihood of AI-generated hallucinations (erroneous diagnoses).
10. Conclusion
The Theory of Relativity of Hallucination offers a mathematically grounded framework for understanding and enhancing communication between stakeholders through their personalized DIKWP*DIKWP profiles. By systematically identifying and sharing missing DIKWP components, and addressing connectivity, inconsistency, uncertainty, and complexity, stakeholders can achieve a higher degree of mutual Understanding. This framework not only mitigates the incidence of hallucinations in AI systems but also fosters effective human-AI collaboration, ensuring that interactions are coherent, reliable, and ethically aligned. Future research should focus on empirical validation of the proposed mechanisms and the development of advanced algorithms to facilitate seamless DIKWP*DIKWP interactions.
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Acknowledgments
The author extends gratitude to Prof. Yucong Duan for his pioneering work on the DIKWP model and the Theory of Relativity of Consciousness, which have significantly influenced the conceptual framework of this analysis. Appreciation is also given to colleagues in cognitive science and artificial intelligence for their invaluable feedback and insights.
Author Information
Correspondence and requests for materials should be addressed to [Author's Name and Contact Information].
Keywords: DIKWP Model, Theory of Relativity of Hallucination, Human-AI Interaction, Cognitive Enclosure, Mathematical Framework, Data-Information-Knowledge-Wisdom-Purpose, Hallucination Mitigation, Understanding Enhancement
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