English, Article edition: YINYANG BIPOLAR LATTICES AND L-SETS FOR BIPOLAR KNOWLEDGE FUSION, VISUALIZATION, AND DECISION WEN-RAN ZHANG

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Physical Description
  • article
Language
  • English

Edition details

Title
  • YINYANG BIPOLAR LATTICES AND L-SETS FOR BIPOLAR KNOWLEDGE FUSION, VISUALIZATION, AND DECISION
Author
  • WEN-RAN ZHANG
Physical Description
  • article
Notes
  • YinYang bipolar sets, bipolar lattice, bipolar L-crisp sets, and Bipolar L-fuzzy sets are presented for bipolar information/​knowledge fusion, visualization, and decision. First, a bipolar lattice B is defined as a 4-tuple (B, â, &​, â) in which every pair of elements has a bipolar lub (blub â), a bipolar glb (bglb &​), and a cross-pole glb (cglb â). A bipolar L-set (crisp or fuzzy) B =​ (B-, B+) in X to a bipolar lattice BL is defined as a bipolar equilibrium function or mapping B : X â BL. A strict bipolar lattice B is defined as a 7-tuple (B, â¡, â, â, &​, -, ¬, â) that delegates a class of isomorphic bounded and complemented bipolar lattices. A refined and generalized 9-set axiomatization is presented on a class of strict bipolar lattices. The notions of bipolar L-relations and equilibrium relations are introduced as bipolar L-sets. Remarkably, YinYang bipolar L-sets lead to a bipolar universal modus ponens (BUMP) which presents a unified non-linear bipolar generalization of classical modus ponens and builds a bridge from a linear, static, and closed world to a non-linear, dynamic, and open world of equilibria, quasi-equilibria, and non-equilibria for bipolar information/​knowledge fusion, visualization, and decision. A number of potential applications are outlined.
  • YinYang Bipolar Equilibria, bipolar lattice, bipolar L-crisp sets, bipolar L-fuzzy sets, Bipolar Dynamic Modus Ponens (BDMP), Bipolar Universal Modus Ponens (BUMP), Bipolar L-relations, Bipolar L-equilibrium relations, Information/​knowledge fusion, Visualization, decision and coordination
  • RePEc:wsi:ijitdm:v:04:y:2005:i:04:p:621-645
Language
  • English
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