New Rochelle, NY, United States
New Rochelle, NY, United States

The College of New Rochelle is a private Catholic college with its main campus located in New Rochelle, New York. The College of St. Angela was founded by the Order of the Ursulines as the first Catholic women's college in New York state in 1904, a time when women were generally excluded from higher education. The name was changed to The College of New Rochelle in 1910. Building on its original commitment to women, the college reaches out to those who have not previously had access to higher education. It places particular emphasis on the concept of lifelong learning. The undergraduate program remains women-only but the nursing program, graduate school and adult learners program are now open to men. Wikipedia.


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Yager R.R.,The College of New Rochelle
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics | Year: 2012

We describe multicriteria aggregation and discuss its central role in many modern applications. The concept of aggregation imperative is introduced to indicate the description of how the individual criteria satisfactions should be combined to obtain the overall score. We focus on a particular type of aggregation imperative called prioritized aggregation that is characteristic of situations where lack of satisfaction to criteria denoted as higher priority cannot be compensated by increased satisfaction by those denoted as lower priority. We discuss two approaches to the formulation of this type of aggregation process. One of these uses the prioritized aggregation operator, and the second is based on an integral-type aggregation using a monotonic set measure to convey the prioritized imperative. © 2012 IEEE.


Yager R.R.,The College of New Rochelle
Fuzzy Optimization and Decision Making | Year: 2011

We are interested in the problem of multi-source information fusion in the case when the information provided has some uncertainty. We note that sensor provided information generally has a probabilistic type of uncertainty whereas linguistic information typically introduces a possibilistic type of uncertainty. More generally, we are faced with a problem in which we must fuse information with different types of uncertainty. In order to provide a unified framework for the representation of these different types of uncertain information we use a set measure approach for the representation of uncertain information. We discuss a set measure representation of uncertain information. In the multi-source fusion problem, in addition to having a collection of pieces of information that must be fused, we need to have some expert provided instructions on how to fuse these pieces of information. Generally these instructions can involve a combination of linguistically and mathematically expressed directions. In the course of this work we begin to consider the fundamental task of how to translate these instructions into formal operations that can be applied to our information. This requires us to investigate the important problem of the aggregation of set measures. © 2011 Springer Science+Business Media, LLC.


Yager R.R.,The College of New Rochelle
IEEE Transactions on Fuzzy Systems | Year: 2014

We first look at some nonstandard fuzzy sets, intuitionistic, and interval-valued fuzzy sets. We note both these allow a degree of commitment of less then one in assigning membership. We look at the formulation of the negation for these sets and show its expression in terms of the standard complement with respect to the degree of commitment. We then consider the complement operation.We describe its properties and look at alternative definitions of complement operations.We then focus on the Pythagorean complement. Using this complement, we introduce a class of nonstandard Pythagorean fuzzy subsetswhose membership grades are pairs, (a, b) satisfying the requirement a2 + b2 ≤1.We introduce a variety of aggregation operations for these Pythagorean fuzzy subsets. We then look at multicriteria decision making in the case where the criteria satisfaction are expressed using Pythagorean membership grades. The issue of having to choose a best alternative in multicriteria decision making leads us to consider the problem of comparing Pythagorean membership grades. © 1993-2012 IEEE.


Yager R.R.,The College of New Rochelle
International Journal of Intelligent Systems | Year: 2012

We first recall the concept of Z-numbers introduced by Zadeh. These objects consist of an ordered pair (A, B) of fuzzy numbers. We then use these Z-numbers to provide information about an uncertain variable V in the form of a Z-valuation, which expresses the knowledge that the probability that V is A is equal to B. We show that these Z-valuations essentially induce a possibility distribution over probability distributions associated with V. We provide a simple illustration of a Z-valuation. We show how we can use this representation to make decisions and answer questions. We show how to manipulate and combine multiple Z-valuations. We show the relationship between Z-numbers and linguistic summaries. Finally, we provide for a representation of Z-valuations in terms of Dempster-Shafer belief structures, which makes use of type-2 fuzzy sets. © 2012 Wiley Periodicals, Inc.


Yager R.R.,The College of New Rochelle
IEEE Transactions on Fuzzy Systems | Year: 2010

We describe the basic properties of a norm and introduce the Minkowski norm. We then show that the OWA aggregation operator can be used to provide norms. To enable this we require that the OWA weights satisfy the buoyancy property, wj ≥ wk for j < k. We consider a number of different classes of OWA norms. It is shown that the functional generation of the weights of an OWA norm requires the weight generating function have a non-positive second derivative. We discuss the use of the generalized OWA operator to provide norms. Finally we describe the use of OWA operators to induce similarity measures. © 2006 IEEE.


Yager R.R.,The College of New Rochelle
Information Sciences | Year: 2013

Our interest is in time series data smoothing. We view this process as an aggregation of previously observed values. We first discuss the features desired of a good smoothing operator. We particularly note the conflict that exists between our desire for minimal variance and desire to use the freshest data. We describe a number of commonly used smoothing techniques, moving average and exponential smoothing. We then consider the extension of these methods to the case where the observations can have different credibility or importances. Specifically we develop an extension of the exponential smoothing method to the case where the observations can have different importance weights in the smoothing process. © 2012 Published by Elsevier Inc.


LoPachin R.M.,Yeshiva University | Gavin T.,The College of New Rochelle
Environmental Health Perspectives | Year: 2012

Background: Acrylamide (ACR) produces cumulative neurotoxicity in exposed humans and laboratory animals through a direct inhibitory effect on presynaptic function. Objectives: In this review, we delineate how knowledge of chemistry provided an unprecedented understanding of the ACR neurotoxic mechanism. We also show how application of the hard and soft, acids and bases (HSAB) theory led to the recognition that the α,β-unsaturated carbonyl structure of ACR is a soft electrophile that preferentially forms covalent bonds with soft nucleophiles. Methods: Invivo proteomic and inchemico studies demonstrated that ACR formed covalent adducts with highly nucleophilic cysteine thiolate groups located within active sites of presynaptic proteins. Additional research showed that resulting protein inactivation disrupted nerve terminal processes and impaired neurotransmission. Discussion: ACR is a type-2 alkene, a chemical class that includes structurally related electrophilic environmental pollutants (e.g., acrolein) and endogenous mediators of cellular oxidative stress (e.g., 4-hydroxy-2-nonenal). Members of this chemical family produce toxicity via a common molecular mechanism. Although individual environmental concentrations might not be toxicologically relevant, exposure to an ambient mixture of type-2 alkene pollutants could pose a significant risk to human health. Furthermore, environmentally derived type-2 alkenes might act synergistically with endogenously generated unsaturated aldehydes to amplify cellular damage and thereby accelerate human disease/injury processes that involve oxidative stress. Conclusions: These possibilities have substantial implications for environmental risk assessment and were realized through an understanding of ACR adduct chemistry. The approach delineated here can be broadly applied because many toxicants of different chemical classes are electrophiles that produce toxicity by interacting with cellular proteins.


Yager R.R.,The College of New Rochelle
IEEE Transactions on Fuzzy Systems | Year: 2012

Here, we are interested in the issue of multisource uncertain information fusion. We first consider the problem of fusing multiple possibility distributions. In this case, we particularly investigate the issue of normalization and suggest a generalized approach to the normalization of conflicting possibility distributions. We then look at the fusion of multiple probability distributions. We then suggest a framework to fuse probabilistic and possibilistic uncertainty based on the idea of conditioning the probability distribution with respect to the possibility distribution. We extend our approach to the case where our information about either of the distributions is imprecise, the so called second-order uncertainties. © 2012 IEEE.


Yager R.R.,The College of New Rochelle
IEEE Transactions on Fuzzy Systems | Year: 2012

We describe the use of monotonic set measures, which are sometimes referred to as fuzzy measures, in the representation of uncertain information about a variable. The representation of significant types of uncertain information, such as probabilistic, possibilistic, and others, is discussed. The concept of the dual of a measure is introduced and is used to define the measures of opportunity and assurance associated with the occurrence of an event. We observe that these generalize the ideas of possibility and necessity in possibility theory, as well as the ideas of plausibility and belief in Dempster-Shafer theory. Using the measures of opportunity and assurance, we are able to introduce a concept of entailment between two uncertainty representations, which generalizes Zadeh's idea of entailment between possibility distributions. We show, using the idea of entailment, how to relate possibilistic and probabilistic uncertainty and discuss a potential application in hard/soft information fusion. We, finally, consider the measure representation of joint variables. © 2012 IEEE.


Yager R.R.,The College of New Rochelle
IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans | Year: 2010

We discuss the idea of fuzzy relationships and their role in modeling weighted social relational networks. The paradigm of computing with words is introduced, and the role that fuzzy sets play in representing linguistic concepts is described. We discuss how these technologies can provide a bridge between a network analyst's linguistic description of social network concepts and the formal model of the network. We then turn to some examples of taking an analyst's network concepts and formally representing them in terms of network properties. We first do this for the concept of clique and then for the idea of node importance. Finally, we introduce the idea of vector-valued nodes and begin developing a technology of social network database theory. © 2009 IEEE.

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