Contradiction-Oriented Plithogenic Decision Model Improved with T-Norm and T-Conorm Operators

This study explores the application of Plithogenic Set Theory, a comprehensive generalization of crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets, designed to model complex systems characterized by multi-attribute elements. Within the plithogenic framework, each element is defined by a diverse set of attributes, where membership degrees are computed independently based on distinct attribute values and predefined evaluation criteria. While traditional plithogenic multi-criteria decision-making (MCDM) models predominantly rely on static membership degrees, this research introduces a transformative approach by prioritizing the contradiction degree (c) as the fundamental operational parameter. The proposed decision-making mechanism is an alternative to traditional multi-criteria decision-making frameworks by considering the dynamic interactions and internal conflicts between attribute values. To validate this approach, the contradiction-based plithogenic model was integrated with the Weighted Aggregates Sum Product Assessment (WASPAS) method. This hybrid framework aims to enhance evaluative precision by utilizing t-norm and t-conorm operations within the plithogenic aggregation process. Ultimately, the purpose of this study is to explore how plithogenic aggregation operations handle structural contradictions, providing an alternative to traditional set types. To further enhance the robustness of the model, t-norm and t-conorm operations are utilized in the plithogenic aggregation processes.

Authors

Institutions

Publication Details

Journal
Bitlis Eren Üniversitesi Fen Bilimleri Dergisi
Published
2026-09-30
DOI
https://doi.org/10.17798/bitlisfen.1784120
Primary Topic
Multi-Criteria Decision Making
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
article

Contradiction-Oriented Plithogenic Decision Model Improved with T-Norm and T-Conorm Operators

Hamiyet Merkepçi
Bitlis Eren Üniversitesi Fen Bilimleri Dergisi
Multi-Criteria Decision Making
article

Contradiction-Oriented Plithogenic Decision Model Improved with T-Norm and T-Conorm Operators

Hamiyet Merkepçi
article en

Abstract

This study explores the application of Plithogenic Set Theory, a comprehensive generalization of crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets, designed to model complex systems characterized by multi-attribute elements. Within the plithogenic framework, each element is defined by a diverse set of attributes, where membership degrees are computed independently based on distinct attribute values and predefined evaluation criteria. While traditional plithogenic multi-criteria decision-making (MCDM) models predominantly rely on static membership degrees, this research introduces a transformative approach by prioritizing the contradiction degree (c) as the fundamental operational parameter. The proposed decision-making mechanism is an alternative to traditional multi-criteria decision-making frameworks by considering the dynamic interactions and internal conflicts between attribute values. To validate this approach, the contradiction-based plithogenic model was integrated with the Weighted Aggregates Sum Product Assessment (WASPAS) method. This hybrid framework aims to enhance evaluative precision by utilizing t-norm and t-conorm operations within the plithogenic aggregation process. Ultimately, the purpose of this study is to explore how plithogenic aggregation operations handle structural contradictions, providing an alternative to traditional set types. To further enhance the robustness of the model, t-norm and t-conorm operations are utilized in the plithogenic aggregation processes.

Bitlis Eren Üniversitesi Fen Bilimleri DergisiVol. 15(3)
Gaziantep University (TR)
Peace, Justice and strong institutions
Openalex Percentile: Top 7%
Multi-Criteria Decision Making
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.