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E-raamat: Facets of Uncertainties and Applications: ICFUA, Kolkata, India, December 2013

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Since the emergence of the formal concept of probability theory in the seventeenth century, uncertainty has been perceived solely in terms of probability theory. However, this apparently unique link between uncertainty and probability theory has come under investigation a few decades back. Uncertainties are nowadays accepted to be of various kinds. Uncertainty in general could refer to different sense like not certainly known, questionable, problematic, vague, not definite or determined, ambiguous, liable to change, not reliable. In Indian languages, particularly in Sanskrit-based languages, there are other higher levels of uncertainties. It has been shown that several mathematical concepts such as the theory of fuzzy sets, theory of rough sets, evidence theory, possibility theory, theory of complex systems and complex network, theory of fuzzy measures and uncertainty theory can also successfully model uncertainty.

Part I Uncertainty Modelling
Rough Sets and Other Mathematics: Ten Research Programs
3(14)
Piero Pagliani
Dealing with Uncertainty: From Rough Sets to Interactive Rough-Granular Computing
17(16)
Andrzej Jankowski
Andrzej Skowron
Roman Swiniarski
An Evolutionary Approach to Secondary Membership Function Selection in Generalized Type-2 Fuzzy Sets
33(18)
Reshma Kar
Amit Konar
Aruna Chakraborty
Pratyusha Rakshit
Specificity Based Defuzzification in Approximate Reasoning
51(12)
Asim Pal
Swapan Raha
Proto-Fuzzy Concepts Generation Technique Using Fuzzy Graph
63(14)
Partha Ghosh
Krishna Kundu
Part II Logic of Uncertainty
Open World Models: A View from Rough Set Theory
77(10)
Mohua Banerjee
Shier Ju
Md. Aquil Khan
Liping Tang
Approximate Reasoning Under Type-2 Fuzzy Logics
87(12)
Sudin Mandal
Namrata Bhattacharyya
Swapan Raha
Approximation Dialectics of Proto-Transitive Rough Sets
99(14)
A. Mani
Part III Hybridization of Uncertainties
A Probabilistic Approach to Information System and Rough Set Theory
113(12)
Md. Aquil Khan
Uncertainty Analysis of Contaminant Transportation Through Ground Water Using Fuzzy-Stochastic Response Surface
125(10)
Subrata Bera
D. Datta
A.J. Gaikwad
Development of a Fuzzy Random Health Risk Model
135(18)
D. Datta
S. Kar
H.S. Kushwaha
Uncertainty Analysis of Retardation Factor Using Monte Carlo, Fuzzy Set and Hybrid Approach
153(14)
T.K. Pal
V. Arumugam
D. Datta
Part IV Roll of Uncertainties
Two Person Interaction Detection Using Kinect Sensor
167(10)
Sriparna Saha
Amit Konar
Ramadoss Janarthanan
An Improved Genetic Algorithm and Its Application in Constrained Solid TSP in Uncertain Environments
177(24)
Monoranjan Maiti
Samir Maity
Arindam Roy
A Novel Soft Theoretic AHP Model for Project Management in Multi-criteria Decision Making Problem
201(14)
Tuli Bakshi
T. Som
B. Sarkar
An Application of Weighted Neutrosophic Soft Sets in a Decision-Making Problem
215(10)
Pabitra Kumar Maji
Approximate Reasoning in Management of Hypertension
225(10)
Banibrata Mondal
Swapan Raha
The Hesitant Fuzzy Soft Set and Its Application in Decision-Making
235(14)
Sujit Das
Samarjit Kar
On Fuzzy Ideal Cone Method to Capture Entire Fuzzy Nondominated Set of Fuzzy Multi-criteria Optimization Problems with Fuzzy Parameters
249(12)
Debdas Ghosh
Debjani Chakraborty
A Bi-Objective Solid Transportation Model Under Uncertain Environment
261(16)
Amrit Das
Uttam Kumar Bera
A Food Web Population Model in Deterministic and Stochastic Environment
277(16)
D. Sadhukhan
B. Mondal
M. Maiti
Computational Method for High-Order Weighted Fuzzy Time Series Forecasting Based on Multiple Partitions
293(10)
Sukhdev Singh Gangwar
Sanjay Kumar
Portfolio Selection with Possibilistic Kurtosis
303(12)
Sheikh Ahmed Hossain
Rupak Bhattacharyya
Conflicting Bifuzzy Preference Relations Based Method for Multi Criteria Decision Making Problems
315(10)
Deepa Joshi
Sanjay Kumar
A Linear Goal Programming Method for Solving Chance-Constrained Multiobjective Problems with Interval Data Uncertainty
325
Mousumi Kumar
Bijay Baran Pal
MIHIR KUMAR CHAKRABORTY, PhD, is visiting professor at the School of Cognitive Sciences, Jadavpur University, and director of Sivatosh Mookerjee Centre of Sciences, Kolkata. Earlier, he was professor of pure mathematics at the University of Calcutta. Professor Chakraborty had also been visiting professor at the Centre for Soft Computing Research, Indian Statistical Institute, Kolkata; Institute for Logic Language and Cognition, Sun Yat-Sen University, Guangzhou, China; Institut de Recherche en Informatique de Toulouse (IRIT), University Paul Sabataire, Toulouse, France; University of Paris VIII, France; University of Wollongong, Australia; University of Regina, Canada; NIAS, Bangalore, India; and Visva Bharati, Santiniketan, India. A recipient of Deutscher Akademischer Austuasch Dienst (DAAD) Fellowship, IISc Fellowship, and Fellowship of West Bengal Academy of Sciences, Professor Chakraborty is member of the Council and Research Project Committee (RPC)  of Indian Council for Philosophical Research (ICPR) and guest professor at South West University of Chongqing, China. He has about 150 research papers to his credit in several international journals and edited volumes, co-authored one book A Geometry of Approximation (Springer), authored three books in vernacular Bengali on philosophy of mathematics, and co-edited several scientific publications. A member of the editorial board of several international journals and a book series Logic in Asia: Studia Logic Library (Springer), Professor Chakrabortys area of research are non-standard logics, rough set theory, fuzzy set theory, reasoning in uncertainty and vagueness, logic of diagrams, topology/functional analysis and philosophy of mathematics. He also supervised 16 PhD students. Professor Chakraborty is founder of Calcutta Logic Circle, Association for Logic in India, Indian Society for Fuzzy Mathematics and Information Processing (ISFUMIP) and member of the advisory board of InternationalRough Set Society and Indian Rough Set Society.

ANDRZEJ SKOWRON, European Coordination Committee for Artificial Intelligence (ECCAI) Fellow, received his PhD and D.Sc. (Habilitation) from the University of Warsaw, Poland. In 1991, he received the Scientific Title of Professor. He is full professor in the Faculty of Mathematics, Computer Science and Mechanics at the University of Warsaw, and honorary professor of Chongqing University of Posts and Telecommunications, China. He is the author of more than 400 scientific publications and editor of many books. His areas of expertise include reasoning with incomplete information, approximate reasoning, soft computing methods and applications, rough sets, rough mereology, granular computing, intelligent systems, knowledge discovery and data mining, decision support systems, adaptive and autonomous systems, perception based computing, and interactive computational systems. He supervised more than 20 PhD theses, was the editor-in-chief of the journal Fundamenta Informaticae during 19952009. Professor Skowron is also on editorial boards of many international journals. During 19962000, he was the president of the International Rough Set Society. He delivered numerous invited talks at international conferences including plenary talk at the 16-th IFIP World Computer Congress (Beijing, 2000) and served as the program chair of more than 200 international conferences. He was involved to numerous research and commercial projects.

MANORANJAN MAITI, PhD, has earlier worked at Indian Institute of Tropical Meteorology, Poona; Structural Engineering Division, Vikram Sarabhai Space Centre, ISRO, Trivandrum;  Department of Mathematics, Calcutta University Post Graduate Centre (presently, Tripura University), Agartala; Department of Applied Mathematics, Vidyasagar University, West Bengal. He was also dean, Faculty Council of Science, for a period of ten years and vice-chancellor (pro-tempore) of VidyasagarUniversity, for a short period. Twenty six students have been awarded PhD degree in mathematics under his guidance at Vidyasagar University and NIT Durgapur, West Bengal, as well as several students are doing PhD under him. He has published more than 250 research papers in several international journals. He was associate editor of Applied Mathematical Modelling. His fields of interest are inventory control system, supply chain, fuzzy optimization, transportation, etc. 

SAMARJIT KAR completed his PhD in mathematics from Vidyasagar University, West Bengal. He is associate professor at the Department of Mathematics, National Institute of Technology, Durgapur, India. With over 15 years of experience in teaching, Professor Kar is also a visiting professor at the Department of Mathematical Sciences, Tsinghua University, China. Moreover he has visited several universities and institutes in India and abroad. He has co-authored more than 120 technical articles in international journals, contributed volumes and conference proceedings. An author of 2 textbooks and edited 5 contributed books, Professor Kar has guided 10 PhD students. He is the associate editor of Journal of Uncertainty Analysis and Application (Springer) and is presently associated with an ongoing project, Hybrid modelling of uncertainty analysis in environmental risk assessments under BRNS, Department of Atomic Energy (DAE), Govt. of India. His research interests include operations research and optimization, soft computing, uncertainty theory and financial modelling.