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321 results on '"BANERJEE, MOHUA"'

51. A Categorial Basis for Granular Computing

Author

Banerjee, Mohua, Yao, Yiyu, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Nierstrasz, Oscar, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Sudan, Madhu, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Vardi, Moshe Y., Series editor, Weikum, Gerhard, Series editor, Carbonell, Jaime G., editor, Siekmann, Jörg, editor, An, Aijun, editor, Stefanowski, Jerzy, editor, Ramanna, Sheela, editor, Butz, Cory J., editor, Pedrycz, Witold, editor, and Wang, Guoyin, editor

Published
2007
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52. Propositional Logics from Rough Set Theory

Author

Banerjee, Mohua, Khan, Md. Aquil, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Rangan, C. Pandu, editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Peters, James F., editor, Skowron, Andrzej, editor, Düntsch, Ivo, editor, Grzymała-Busse, Jerzy, editor, Orłowska, Ewa, editor, and Polkowski, Lech, editor

Published
2007
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54. Contrapositionally complemented Heyting algebras and intuitionistic logic with minimal negation.

Author

More, Anuj Kumar and Banerjee, Mohua

Subjects
MATHEMATICAL logic, HEYTING algebras, NEGATION (Logic), KRIPKE semantics, LOGIC
Abstract

Two algebraic structures, the contrapositionally complemented Heyting algebra (ccHa) and the contrapositionally |$\vee $| complemented Heyting algebra (c |$\vee $| cHa), are studied. The salient feature of these algebras is that there are two negations, one intuitionistic and another minimal in nature, along with a condition connecting the two operators. Properties of these algebras are discussed, examples are given and comparisons are made with relevant algebras. Intuitionistic Logic with Minimal Negation (ILM) corresponding to ccHa s and its extension |${\textrm {ILM}}$| - |${\vee }$| for c |$\vee $| cHa s are then investigated. Besides its relations with intuitionistic and minimal logics, ILM is observed to be related to Peirce's logic and Vakarelov's logic MIN. With a focus on properties of the two negations, relational semantics for ILM and |${\textrm {ILM}}$| - |${\vee }$| are obtained with respect to four classes of frames, and inter-translations between the classes preserving truth and validity are provided. ILM and |${\textrm {ILM}}$| - |${\vee }$| are shown to have the finite model property with respect to these classes of frames and proved to be decidable. Extracting features of the two negations in the algebras, a further investigation is made, following logical studies of negations that define the operators independently of the binary operator of implication. Using Dunn's logical framework for the purpose, two logics |$K_{im}$| and |$K_{im-{\vee }}$| are discussed, where the language does not include implication. The |$K_{im}$| -algebras are reducts of ccHa s and are different from relevant algebraic structures having two negations. The negations in the |$K_{im}$| -algebras and |$K_{im-{\vee }}$| -algebras are shown to occupy distinct positions in an enhanced form of Dunn's kite of negations. Relational semantics for |$K_{im}$| and |$K_{im-{\vee }}$| is provided by a class of frames that are based on Dunn's compatibility frames. It is observed that this class coincides with one of the four classes giving the relational semantics for ILM and |${\textrm {ILM}}$| - |${\vee }$|⁠. [ABSTRACT FROM AUTHOR]

Published
2023
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56. Rough Belief Change

Author

Banerjee, Mohua, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Peters, James F., editor, and Skowron, Andrzej, editor

Published
2006
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57. Object Extraction in Gray-Scale Images by Optimizing Roughness Measure of a Fuzzy Set

Author

Rao, D. V. Janardhan, Banerjee, Mohua, Mitra, Pabitra, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Pal, Sankar K., editor, Bandyopadhyay, Sanghamitra, editor, and Biswas, Sambhunath, editor

Published
2005
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58. Rough Contraction Through Partial Meets

Author

Banerjee, Mohua, Singh, Pankaj, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Pal, Sankar K., editor, Bandyopadhyay, Sanghamitra, editor, and Biswas, Sambhunath, editor

Published
2005
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60. Algebras from Rough Sets

Author

Banerjee, Mohua, Chakraborty, Mihir K., Gabbay, Dov M., editor, Siekmann, Jörg, editor, Pal, Sankar K., editor, Polkowski, Lech, editor, and Skowron, Andrzej, editor

Published
2004
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61. Dialogue in Rough Context

Author

Chakraborty, Mihir K., Banerjee, Mohua, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Carbonell, Jaime G., editor, Siekmann, Jörg, editor, Tsumoto, Shusaku, editor, Słowiński, Roman, editor, Komorowski, Jan, editor, and Grzymała-Busse, Jerzy W., editor

Published
2004
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62. Rough Truth, Consequence, Consistency and Belief Revision

Author

Banerjee, Mohua, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Carbonell, Jaime G., editor, Siekmann, Jörg, editor, Tsumoto, Shusaku, editor, Słowiński, Roman, editor, Komorowski, Jan, editor, and Grzymała-Busse, Jerzy W., editor

Published
2004
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63. Erratum: Logic and Its Applications

Author

Banerjee, Mohua, Krishna, Shankara Narayanan, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Kobsa, Alfred, Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Nierstrasz, Oscar, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Banerjee, Mohua, editor, and Krishna, Shankara Narayanan, editor

Published
2015
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68. Logic of Rough Sets

Author

Banerjee, Mohua, Chakraborty, M. K., van Rijsbergen, C. J., editor, Alagar, V. S., editor, Bergler, S., editor, and Dong, F. Q., editor

Published
1994
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83. The Farm-to-Fridge Value Chain: Participants’ Roles and Driving Productivity through Technology Interventions

Author

Banerjee, Mohua and Kunamaneni, Suneel

Subjects
Agricultural and Food Policy, farm level profitability, Farm Management, dairy, value chain
Abstract

The value chain of the Indian dairy industry consists of dairy farmers, collection centres, chilling centres, processing plants, retailers and consumers. The objectives of the study are to map the processes and operational challenges existing in the dairy value chain, estimate profitability of the participants at the farm-levels to gauge their potential in undertaking entrepreneurial initiatives, study roles of the privately-owned processing plants in the supply chain, and identify business models of startups in the dairy ecosystem who drive productivity through technology interventions. Exploratory research through multiple field visits, in-depth interviews and personal observations in West Bengal (eastern India) and Bangalore have formed the basis of this study. Using case study format, the roles of the different intermediaries in the value chain have been analysed to develop insights on their entrepreneurial abilities and intent. The findings reveal the largely fragmented, unorganized dairy industry where the channel members majorly operate in silos with linkages only to their immediate backward and forward partners, in a myopic manner. At the farm level, only the chilling centres have sufficient profitability to undertake value-adding entrepreneurial initiatives. The marginal dairy farmers are at subsistence level and hence unable to participate in value creation. The private processing plants are corporate entrepreneurs and their interactions with chilling centres are confined to that of supplier-manufacturer, to ensure seamless supply of milk for their manufacturing processes. They do not engage with the small dairy farmers. In these circumstances, new-age start-ups that create social impact while operating as a viable, for-profit organization, effectively bridge the gaps in the dairy value chain by intervening at all its nodal points and providing technology solutions to create additional value. Farmers are at the core of the dairy processes as they produce the milk and any improvement in the value chain ultimately gets back to the farmer through better prices and better market linkages.

Published
2019
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88. On the relation between possibilistic logic and modal logics of belief and knowledge

Author

Ministerio de Economía y Competitividad (España), European Commission, Banerjee, Mohua, Dubois, Didier, Godo, Lluis, Prade, Henri, Ministerio de Economía y Competitividad (España), European Commission, Banerjee, Mohua, Dubois, Didier, Godo, Lluis, and Prade, Henri

Abstract

Possibilistic logic and modal logic are knowledge representation frameworks sharing some common features, such as the duality between possibility and necessity, and the decomposability of necessity for conjunctions, as well as some obvious differences since possibility theory is graded. At the semantic level, possibilistic logic relies on possibility distributions and modal logic on accessibility relations. In the last 30 years, there have been a series of attempts for bridging the two frameworks in one way or another. In this paper, we compare the relational semantics of epistemic logics (such as KD45 and S5) with simpler possibilistic semantics of a fragment of such logics that only uses modal formulas of depth 1. This minimal epistemic logic handles both all-or-nothing beliefs and explicitly ignored facts. We also contrast epistemic logic with the S5-based rough set logic. Finally, this paper presents extensions of generalized possibilistic logic with objective and non-nested multimodal formulas, in the style of modal logics KD45 and S5.

Published
2018

89. On the Relation between Possibilistic Logic and Modal Logics of Belief

Author

Banerjee, Mohua, Dubois, Didier, Godo, Lluis, and Prade, Henri

Subjects
epistemic logic, Modal logic, rough sets, possibility theory
Abstract

Possibility theory and modal logic are two knowledge representation frameworks that share some common features, such as the duality between possibility and necessity, as well as some obvious di?erences since possibility theory is graded but is not primarily a logical setting. In the last thirty years there have been a series of attempts, reviewed in this paper, for bridging the two frameworks in one way or another. Possibility theory relies on possibility distributions and modal logic on accessibility relations, at the semantic level. Beyond the observation that many properties of possibility theory have qualitative counterparts in terms of axioms of well-known modal logic systems, the first works have looked for (graded) accessibility relations that can account for the behavior of possibility and necessity measures. More recently, another view has emerged from the study of logics of incomplete information, which is no longer based on Kripke-like models. On the one hand, possibilistic logic, closely related to possibility theory, mainly handles beliefs having various strength. On the other hand, in the so-called meta-epistemic logic (MEL) an agent can express both beliefs and explicitly ignored facts (both without strength), by only using modal formulas of depth 1, and no objective ones; its semantics is based on epistemic states. The system MEL+ is an extension of MEL having the syntax of S5. Generalized possibilistic logic (GPL) extends both possibilistic logic and MEL, and has a semantics in terms of sets of possibility distributions. After a survey of these di?erent attempts, the paper presents GPL+, a graded counterpart of MEL+ that extends MEL by allowing objective (sub)formulas. The axioms of GPL+ are graded counterparts of those of S5 modal system, the semantics being based on pairs made of an interpretation (representing the real state of facts) and a possibility distribution (representing an epistemic state). Soundness and completeness are established. The paper also discusses the diference with S5 used as a logic for rough sets that accounts for indiscernibility rather than incomplete information, using also the square of opposition as a common structure underlying modal logic, possibility theory, and rough set theory.

Published
2016

94. Possibilistic vs. Relational Semantics for Logics of Incomplete Information

Author

Ministerio de Economía y Competitividad (España), Banerjee, Mohua, Dubois, Didier, Godo, Lluis, Ministerio de Economía y Competitividad (España), Banerjee, Mohua, Dubois, Didier, and Godo, Lluis

Abstract

This paper proposes an extension of the MEL logic to a language containing modal formulae of depth 0 or 1 only. MEL is a logic of incomplete information where an agent can express both beliefs and explicitly ignored facts, that only uses modal formulae of depth 1, and no objective ones. The extended logic, called MEL+ has the same axioms as, and is in some sense equivalent to, S5 with a restricted language, but with the same expressive power. The semantics is not based on Kripke models with equivalence relations, but on pairs made of an interpretation (representing the real state of facts) and a non-empty set of possible interpretations (representing an epistemic state). Soundness and com- pleteness are established. We provide a rationale for using our approach when an agent reasons about what is known of the epistemic state of another agent and compares it with what is known about the real world. Our approach can be viewed as an alternative to the basic epistemic logic not concerned with introspection. We discuss the difference with S5 used as a logic for rough sets, and the similarity with some previous non-monotonic logics of knowledge is highlighted.

Published
2014

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