abstract = "This paper assumes that each proposition can be defined by a positive criterion together with a negative criterion. A mass function characterization of these bipolar belief measures are further explored. Use a.empty, a.bool(), a.item(), a.any() or a.all(). A calculus of bipolar belief measures for vague propositions is proposed. Then, within the framework of propositional logic, this paper proposes Belnap valuations as a truth model for bipolar propositions. Then, within the framework of propositional logic, this paper proposes Belnap valuations as a truth model for bipolar propositions. By continuing you agree to the use of cookies. AB - This paper assumes that each proposition can be defined by a positive criterion together with a negative criterion. A truth model of Belnap valuations for bipolar propositions is proposed. Then, within the framework of prop… @article{4fabc37e9bf5493e9638a75839f6247f. Required fields are marked *, two International Journal of Approximate Reasoning, https://doi.org/10.1016/j.ijar.2014.08.006. author = "Jonathan Lawry and yongchuan tang". T1 - On truth-gaps, truth-gluts, and bipolar propositions. The borderline and inconsistent cases represent the truth-gap and truth-glut of a bipolar proposition, respectively. The borderline and inconsistent cases represent the truth-gap and truth-glut of a bipolar proposition, respectively. A mass function characterization of these bipolar belief measures are further explored. N2 - This paper assumes that each proposition can be defined by a positive criterion together with a negative criterion. The relationship with Atanassov's intuitionistic fuzzy sets and interval fuzzy sets is also discussed in detail. This paper assumes that each proposition can be defined by a positive criterion together with a negative criterion. We use cookies to help provide and enhance our service and tailor content and ads. On truth-gaps, truth-gluts, and bipolar propositions. In order to reduce inconsistency two truth normalization methods, strong truth normalization and Kleene truth normalization, are proposed to approximate the original Belnap valuations. The latter two are to account for the possibility of the available information being incomplete or providing contradictory evidence. = keywords = "Bipolar belief measures, Bipolar valuations, Mass function, Semantic uncertainty, Belnap four-valued logic, Kleene's strong three-valued logic". The truth condition is embedded in the analysis of propositional knowledge; if S knows that p then p is true.. Whilst a straightforward condition given a classical bivalent system with values true and false, bringing truth value gluts into the picture raises some novel matters.. The relationship with Atanassov's intuitionistic fuzzy sets and interval fuzzy sets is also discussed in detail.". A mass function characterization of these bipolar belief measures are further explored. ValueError: The truth value of a Series is ambiguous. journal = "International Journal of Approximate Reasoning", International Journal of Approximate Reasoning, https://doi.org/10.1016/j.ijar.2014.08.006. .hide-if-no-js { The borderline and inconsistent cases represent the truth-gap and truth-glut of a bipolar proposition, respectively. / Lawry, Jonathan; tang, yongchuan. }. Workarounds: we can decide how to treat Series of boolean values - for example if should return True if all values are True: In [136]: res.all() Out[136]: False or when at least one value is True: In order to reduce inconsistency two truth normalization methods, strong truth normalization and Kleene truth normalization, are proposed to approximate the original Belnap valuations. The differences with Atanassov's IFS and interval fuzzy sets are discussed. A mass function characterization of these bipolar belief measures are further explored. Copyright © 2014 Elsevier Inc. All rights reserved. The truth value of bipolar proposition is meant to be one of four values: absolutely true, absolutely false, borderline, and inconsistent. Including Philosophy and/of Information, Logic and Epistemology. The relationship with Atanassov's intuitionistic fuzzy sets and interval fuzzy sets is also discussed in detail. By integrating uncertainty of the true interpretations of bipolar propositions this paper introduces the following bipolar belief measures: positive and negative belief measures, lower and upper belief measures, and Kleene lower and upper belief measures. Craig looks at what these values are and the bizarre rules that apply when they're compared Then, within the framework of propositional logic, this paper proposes Belnap valuations as a truth model for bipolar propositions. The truth value of bipolar proposition is meant to be one of four values: absolutely true, absolutely false, borderline, and inconsistent. Your email address will not be published. 2 Powered by Pure, Scopus & Elsevier Fingerprint Engine™ © 2020 Elsevier B.V. We use cookies to help provide and enhance our service and tailor content. Then, within the framework of propositional logic, this paper proposes Belnap valuations as a truth model for bipolar propositions. On truth-gaps, truth-gluts, and bipolar propositions. Together they form a unique fingerprint.
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